Built on

J. Kim, I. R. Klebanov, G. Tarnopolsky and W. Zhao, Symmetry breaking in coupled SYK or tensor models , Phys. Rev. X 9 (2019) 021043 [ 1902.02287 ]
Original
1902
Earlier work this paper cites.
D. Benedetti, R. Gurau and S. Harribey, Line of fixed points in a bosonic tensor model , JHEP 06 (2019) 053 [ 1903.03578 ]
Original
1903
Earlier work this paper cites.
I. R. Klebanov, P. N. Pallegar and F. K. Popov, Majorana Fermion Quantum Mechanics for Higher Rank Tensors , Phys. Rev. D 100 (2019) 086003 [ 1905.06264 ]
Original
1905
Earlier work this paper cites.
F. K. Popov, Supersymmetric tensor model at large N N and small ϵ \epsilon , Phys. Rev. D 101 (2020) 026020 [ 1907.02440 ]
Original
1907
Earlier work this paper cites.
R. C. Avohou, J. Ben Geloun and N. Dub, On the counting of O ⁡ ( N ) O(N) tensor invariants , 1907.04668
Original
1907
Earlier work this paper cites.
R. Gurau, Notes on tensor models and tensor field theories , 1907.03531
Original
1907
Earlier work this paper cites.
S. Prakash and R. Sinha, Melonic dominance in subchromatic sextic tensor models , 1908.07178
Original
1908
Earlier work this paper cites.
D. Benedetti, R. Gurau, S. Harribey and K. Suzuki, Hints of unitarity at large N N in the O ( N ) 3 O(N)^{3} tensor field theory , JHEP 02 (2020) 072 [ 1909.07767 ]
Original
1909
Earlier work this paper cites.
D. Benedetti, N. Delporte, S. Harribey and R. Sinha, Sextic tensor field theories in rank 3 3 and 5 5 , 1912.06641
Original
1912
Earlier work this paper cites.
D. Benedetti and I. Costa, S O ( 3 ) SO(3) -invariant phase of the O ( N ) 3 O(N)^{3} tensor model , 1912.07311
Original
1912
Earlier work this paper cites.
A. Z. Patashinskii and V. L. Pokrovskii, Second order phase transitions in a bose fluid , JETP 19 (1964) 677
1964
Earlier work this paper cites.
V. Gribov and A. A. Migdal, Strong coupling in the Pomeranchuk pole problem , JETP 28 (1969) 784
1969
Earlier work this paper cites.
M. E. Fisher, S.-k. Ma and B. Nickel, Critical exponents for long-range interactions , Phys.Rev.Lett. 29 (1972) 917
1972
Earlier work this paper cites.
K. G. Wilson and M. E. Fisher, Critical exponents in 3.99 dimensions , Phys. Rev. Lett. 28 (1972) 240
1972
Earlier work this paper cites.
K. G. Wilson, Quantum field theory models in less than four-dimensions , Phys.Rev.D 7 (1973) 2911
1973
Earlier work this paper cites.
J. Sak, Recursion relations and fixed points for ferromagnets with long-range interactions , Phys. Rev. B 8 (1973) 281
1973
Earlier work this paper cites.
S. R. Coleman, R. Jackiw and H. Politzer, Spontaneous symmetry breaking in the O(N) model for large N , Phys. Rev. D 10 (1974) 2491
1974
Earlier work this paper cites.
D. J. Gross and A. Neveu, Dynamical symmetry breaking in asymptotically free field theories , Phys. Rev. D10 (1974) 3235
1974
Earlier work this paper cites.
G. ’t Hooft, A planar diagram theory for strong interactions , Nucl. Phys. B72 (1974) 461
1974
Earlier work this paper cites.
J. M. Cornwall, R. Jackiw and E. Tomboulis, Effective action for composite operators , Phys. Rev. D10 (1974) 2428
1974
Earlier work this paper cites.
E. Brezin, C. Itzykson, G. Parisi and J. B. Zuber, Planar diagrams , Commun. Math. Phys. 59 (1978) 35
1978
Earlier work this paper cites.
M. E. Fisher, Yang-Lee edge singularity and phi**3 field theory , Phys. Rev. Lett. 40 (1978) 1610
1978
Earlier work this paper cites.
E. Witten, Chiral symmetry, the 1/N expansion, and the SU(N) Thirring model , Nucl. Phys. B 145 (1978) 110
1978
Earlier work this paper cites.
P. Breitenlohner and D. Z. Freedman, Stability in gauged extended supergravity , Annals Phys. 144 (1982) 249
1982
Earlier work this paper cites.
S. Coleman, Aspects of symmetry: selected Erice lectures . Cambridge University Press, Cambridge, U.K., 1985, 10.1017/CBO9780511565045
1985
Earlier work this paper cites.
J. L. Cardy, Conformal invariance and the Yang-Lee edge singularity in two-dimensions , Phys. Rev. Lett. 54 (1985) 1354
1985
Earlier work this paper cites.
K. Gawedzki and A. Kupiainen, Renormalizing the nonrenormalizable , Phys. Rev. Lett. 55 (1985) 363
1985
Earlier work this paper cites.
K. Gawedzki and A. Kupiainen, Renormalization of a nonrenormalizable quantum field theory , Nucl. Phys. B 262 (1985) 33
1985
Earlier work this paper cites.
I. Jack and H. Osborn, Analogs for the c c theorem for four-dimensional renormalizable field theories , Nucl. Phys. B 343 (1990) 647
1990
Earlier work this paper cites.
A. Bondi, G. Curci, G. Paffuti and P. Rossi, Metric and central charge in the perturbative approach to two-dimensional fermionic models , Annals Phys. 199 (1990) 268
1990
Earlier work this paper cites.
J. Ambjorn, B. Durhuus and T. Jonsson, Three-dimensional simplicial quantum gravity and generalized matrix models , Mod. Phys. Lett. A6 (1991) 1133
1991
Earlier work this paper cites.
N. Sasakura, Tensor model for gravity and orientability of manifold , Mod. Phys. Lett. A6 (1991) 2613
1991
Earlier work this paper cites.
E. Brezin and J. Zinn-Justin, Renormalization group approach to matrix models , Phys. Lett. B 288 (1992) 54 [ hep-th/9206035 ]
1992
Earlier work this paper cites.
M. Gross, Tensor models and simplicial quantum gravity in ¿ 2-D , Nucl. Phys. B Proc. Suppl. 25A (1992) 144
1992
Earlier work this paper cites.
S. Sachdev and J. Ye, Gapless spin fluid ground state in a random, quantum Heisenberg magnet , Phys. Rev. Lett. 70 (1993) 3339 [ cond-mat/9212030 ]
1993
Earlier work this paper cites.

Similar

E. Brezin and S. Wadia, eds., The Large N expansion in quantum field theory and statistical physics: From spin systems to two-dimensional gravity . World Scientific, Singapore, 1994
1994
Cited alongside, same era.
D. Benedetti, R. Gurau and K. Suzuki, Conformal symmetry and composite operators in the O ( N ) 3 O(N)^{3} tensor field theory , 2002.07652
Original
2002
Cited alongside, same era.
G. Aarts, D. Ahrensmeier, R. Baier, J. Berges and J. Serreau, Far from equilibrium dynamics with broken symmetries from the 2PI - 1/N expansion , Phys. Rev. D66 (2002) 045008 [ hep-ph/0201308 ]
2002
Cited alongside, same era.
J. Berges, Controlled nonperturbative dynamics of quantum fields out-of-equilibrium , Nucl. Phys. A699 (2002) 847 [ hep-ph/0105311 ]
2002
Cited alongside, same era.

Then

I. R. Klebanov and G. Tarnopolsky, Uncolored random tensors, melon diagrams, and the SYK models , Phys. Rev. D95 (2017) 046004 [ 1611.08915 ]
Original
2017
Later among the works it cites.
C. Peng, M. Spradlin and A. Volovich, A Supersymmetric SYK-like Tensor Model , JHEP 05 (2017) 062 [ 1612.03851 ]
Original
2017
Later among the works it cites.
C. Krishnan, S. Sanyal and P. N. Bala Subramanian, Quantum chaos and holographic tensor models , JHEP 03 (2017) 056 [ 1612.06330 ]
Original
2017
Later among the works it cites.
V. Bonzom, L. Lionni and A. Tanasa, Diagrammatics of a colored SYK model and of an SYK-like tensor model, leading and next-to-leading orders , J. Math. Phys. 58 (2017) 052301 [ 1702.06944 ]
Original
2017
Later among the works it cites.
M. Beccaria and A. A. Tseytlin, Partition function of free conformal fields in 3-plet representation , JHEP 05 (2017) 053 [ 1703.04460 ]

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2020

Melonic CFTs

Benedetti, Dario

Understand

The melonic limit is a relatively new type of large-$N$ limit, differing from the much older and well-known large-$N$ limits of vector and matrix field theories, which are dominated by cactus and planar Feynman diagrams, respectively.

The melonic limit typically appears in tensor field theories, characterized by an invariance group in which the fields transform as the product of $r\geq 3$ fundamental representations of $r$ different simple Lie groups.
As the name suggests, in such a limit the perturbative expansion of free energy and correlators are dominated by melonic diagrams.
The latter form a manageable subset of the planar diagrams, but with a richer structure than cactus diagrams, and therefore they open the possibility of studying in a controlled manner new types of fixed points of the renormalization group.

Built on

J. Kim, I. R. Klebanov, G. Tarnopolsky and W. Zhao, Symmetry breaking in coupled SYK or tensor models , Phys. Rev. X 9 (2019) 021043 [ 1902.02287 ]
Original
1902
Earlier work this paper cites.
D. Benedetti, R. Gurau and S. Harribey, Line of fixed points in a bosonic tensor model , JHEP 06 (2019) 053 [ 1903.03578 ]
Original
1903
Earlier work this paper cites.
I. R. Klebanov, P. N. Pallegar and F. K. Popov, Majorana Fermion Quantum Mechanics for Higher Rank Tensors , Phys. Rev. D 100 (2019) 086003 [ 1905.06264 ]
Original
1905
Earlier work this paper cites.
F. K. Popov, Supersymmetric tensor model at large N N and small ϵ \epsilon , Phys. Rev. D 101 (2020) 026020 [ 1907.02440 ]
Original
1907
Earlier work this paper cites.
R. C. Avohou, J. Ben Geloun and N. Dub, On the counting of O ⁡ ( N ) O(N) tensor invariants , 1907.04668
Original
1907
Earlier work this paper cites.
R. Gurau, Notes on tensor models and tensor field theories , 1907.03531
Original
1907
Earlier work this paper cites.
S. Prakash and R. Sinha, Melonic dominance in subchromatic sextic tensor models , 1908.07178
Original
1908
Earlier work this paper cites.
D. Benedetti, R. Gurau, S. Harribey and K. Suzuki, Hints of unitarity at large N N in the O ( N ) 3 O(N)^{3} tensor field theory , JHEP 02 (2020) 072 [ 1909.07767 ]
Original
1909
Earlier work this paper cites.
D. Benedetti, N. Delporte, S. Harribey and R. Sinha, Sextic tensor field theories in rank 3 3 and 5 5 , 1912.06641
Original
1912
Earlier work this paper cites.
D. Benedetti and I. Costa, S O ( 3 ) SO(3) -invariant phase of the O ( N ) 3 O(N)^{3} tensor model , 1912.07311
Original
1912
Earlier work this paper cites.
A. Z. Patashinskii and V. L. Pokrovskii, Second order phase transitions in a bose fluid , JETP 19 (1964) 677
1964
Earlier work this paper cites.
V. Gribov and A. A. Migdal, Strong coupling in the Pomeranchuk pole problem , JETP 28 (1969) 784
1969
Earlier work this paper cites.
M. E. Fisher, S.-k. Ma and B. Nickel, Critical exponents for long-range interactions , Phys.Rev.Lett. 29 (1972) 917
1972
Earlier work this paper cites.
K. G. Wilson and M. E. Fisher, Critical exponents in 3.99 dimensions , Phys. Rev. Lett. 28 (1972) 240
1972
Earlier work this paper cites.
K. G. Wilson, Quantum field theory models in less than four-dimensions , Phys.Rev.D 7 (1973) 2911
1973
Earlier work this paper cites.
J. Sak, Recursion relations and fixed points for ferromagnets with long-range interactions , Phys. Rev. B 8 (1973) 281
1973
Earlier work this paper cites.
S. R. Coleman, R. Jackiw and H. Politzer, Spontaneous symmetry breaking in the O(N) model for large N , Phys. Rev. D 10 (1974) 2491
1974
Earlier work this paper cites.
D. J. Gross and A. Neveu, Dynamical symmetry breaking in asymptotically free field theories , Phys. Rev. D10 (1974) 3235
1974
Earlier work this paper cites.
G. ’t Hooft, A planar diagram theory for strong interactions , Nucl. Phys. B72 (1974) 461
1974
Earlier work this paper cites.
J. M. Cornwall, R. Jackiw and E. Tomboulis, Effective action for composite operators , Phys. Rev. D10 (1974) 2428
1974
Earlier work this paper cites.
E. Brezin, C. Itzykson, G. Parisi and J. B. Zuber, Planar diagrams , Commun. Math. Phys. 59 (1978) 35
1978
Earlier work this paper cites.
M. E. Fisher, Yang-Lee edge singularity and phi**3 field theory , Phys. Rev. Lett. 40 (1978) 1610
1978
Earlier work this paper cites.
E. Witten, Chiral symmetry, the 1/N expansion, and the SU(N) Thirring model , Nucl. Phys. B 145 (1978) 110
1978
Earlier work this paper cites.
P. Breitenlohner and D. Z. Freedman, Stability in gauged extended supergravity , Annals Phys. 144 (1982) 249
1982
Earlier work this paper cites.
S. Coleman, Aspects of symmetry: selected Erice lectures . Cambridge University Press, Cambridge, U.K., 1985, 10.1017/CBO9780511565045
1985
Earlier work this paper cites.
J. L. Cardy, Conformal invariance and the Yang-Lee edge singularity in two-dimensions , Phys. Rev. Lett. 54 (1985) 1354
1985
Earlier work this paper cites.
K. Gawedzki and A. Kupiainen, Renormalizing the nonrenormalizable , Phys. Rev. Lett. 55 (1985) 363
1985
Earlier work this paper cites.
K. Gawedzki and A. Kupiainen, Renormalization of a nonrenormalizable quantum field theory , Nucl. Phys. B 262 (1985) 33
1985
Earlier work this paper cites.
I. Jack and H. Osborn, Analogs for the c c theorem for four-dimensional renormalizable field theories , Nucl. Phys. B 343 (1990) 647
1990
Earlier work this paper cites.
A. Bondi, G. Curci, G. Paffuti and P. Rossi, Metric and central charge in the perturbative approach to two-dimensional fermionic models , Annals Phys. 199 (1990) 268
1990
Earlier work this paper cites.
J. Ambjorn, B. Durhuus and T. Jonsson, Three-dimensional simplicial quantum gravity and generalized matrix models , Mod. Phys. Lett. A6 (1991) 1133
1991
Earlier work this paper cites.
N. Sasakura, Tensor model for gravity and orientability of manifold , Mod. Phys. Lett. A6 (1991) 2613
1991
Earlier work this paper cites.
E. Brezin and J. Zinn-Justin, Renormalization group approach to matrix models , Phys. Lett. B 288 (1992) 54 [ hep-th/9206035 ]
1992
Earlier work this paper cites.
M. Gross, Tensor models and simplicial quantum gravity in ¿ 2-D , Nucl. Phys. B Proc. Suppl. 25A (1992) 144
1992
Earlier work this paper cites.
S. Sachdev and J. Ye, Gapless spin fluid ground state in a random, quantum Heisenberg magnet , Phys. Rev. Lett. 70 (1993) 3339 [ cond-mat/9212030 ]
1993
Earlier work this paper cites.

Similar

E. Brezin and S. Wadia, eds., The Large N expansion in quantum field theory and statistical physics: From spin systems to two-dimensional gravity . World Scientific, Singapore, 1994
1994
Cited alongside, same era.
D. Benedetti, R. Gurau and K. Suzuki, Conformal symmetry and composite operators in the O ( N ) 3 O(N)^{3} tensor field theory , 2002.07652
Original
2002
Cited alongside, same era.
G. Aarts, D. Ahrensmeier, R. Baier, J. Berges and J. Serreau, Far from equilibrium dynamics with broken symmetries from the 2PI - 1/N expansion , Phys. Rev. D66 (2002) 045008 [ hep-ph/0201308 ]
2002
Cited alongside, same era.
J. Berges, Controlled nonperturbative dynamics of quantum fields out-of-equilibrium , Nucl. Phys. A699 (2002) 847 [ hep-ph/0105311 ]
2002
Cited alongside, same era.

Then

I. R. Klebanov and G. Tarnopolsky, Uncolored random tensors, melon diagrams, and the SYK models , Phys. Rev. D95 (2017) 046004 [ 1611.08915 ]
Original
2017
Later among the works it cites.
C. Peng, M. Spradlin and A. Volovich, A Supersymmetric SYK-like Tensor Model , JHEP 05 (2017) 062 [ 1612.03851 ]
Original
2017
Later among the works it cites.
C. Krishnan, S. Sanyal and P. N. Bala Subramanian, Quantum chaos and holographic tensor models , JHEP 03 (2017) 056 [ 1612.06330 ]
Original
2017
Later among the works it cites.
V. Bonzom, L. Lionni and A. Tanasa, Diagrammatics of a colored SYK model and of an SYK-like tensor model, leading and next-to-leading orders , J. Math. Phys. 58 (2017) 052301 [ 1702.06944 ]
Original
2017
Later among the works it cites.
M. Beccaria and A. A. Tseytlin, Partition function of free conformal fields in 3-plet representation , JHEP 05 (2017) 053 [ 1703.04460 ]

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

J.-P. Blaizot, E. Iancu and U. Reinosa, Renormalizability of Phi derivable approximations in scalar phi**4 theory , Phys. Lett. B568 (2003) 160 [ hep-ph/0301201 ]

2003

Cited alongside, same era.

D. C. Brydges, P. K. Mitter and B. Scoppola, Critical (Phi**4)(3, epsilon) , Commun. Math. Phys. 240 (2003) 281 [ hep-th/0206040 ]

2003

Cited alongside, same era.

D. Benedetti, S. Carrozza, R. Toriumi and G. Valette, Multiple scaling limits of U ( N ) 2 × O ⁡ ( D ) \mathrm{U}(N)^{2}\times\mathrm{O}(D) multi-matrix models , 2003.02100