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J. Davighi, B. Gripaios and N. Lohitsiri, Global anomalies in the Standard Model(s) and Beyond , arXiv e-prints arXiv:1910.11277 (2019 Oct), [ arXiv:1910.11277 ]
Original
1910
Earlier work this paper cites.
Z. Wan and J. Wang, Beyond Standard Models and Grand Unifications: Anomalies, Topological Terms, and Dynamical Constraints via Cobordisms , JHEP 07
Original
1910
Earlier work this paper cites.
Z. Bi, E. Lake and T. Senthil, Landau ordering phase transitions beyond the Landau paradigm , Phys. Rev. Research. 2
Original
1910
Earlier work this paper cites.
J. Wang, Y.-Z. You and Y. Zheng, Gauge enhanced quantum criticality and time reversal deconfined domain wall: SU(2) Yang-Mills dynamics with topological terms , Phys. Rev. Research. 2
Original
1910
Earlier work this paper cites.
J. Kaidi, J. Parra-Martinez, Y. Tachikawa and w. a. m. a. b. A. Debray, Topological Superconductors on Superstring Worldsheets , SciPost Phys. 9
Original
1911
Earlier work this paper cites.
Z. Wan, J. Wang and Y. Zheng, Higher anomalies, higher symmetries, and cobordisms II: Lorentz symmetry extension and enriched bosonic / fermionic quantum gauge theory , Ann. Math. Sci. Appl. 05
Original
1912
Earlier work this paper cites.
R. Feger, T. W. Kephart and R. J. Saskowski, LieART 2.0 – A Mathematica application for Lie Algebras and Representation Theory , Comput. Phys. Commun. 257
Original
1912
Earlier work this paper cites.
S. Tomonaga, Remarks on Bloch’s Method of Sound Waves applied to Many-Fermion Problems , Progress of Theoretical Physics 5
1950
Earlier work this paper cites.
R. Thom, Quelques propriétés globales des variétés différentiables , Commentarii Mathematici Helvetici 28
1954
Earlier work this paper cites.
J. F. Adams, On the structure and applications of the Steenrod algebra , Comment. Math. Helv. 32
1958
Earlier work this paper cites.
S. L. Glashow, Partial Symmetries of Weak Interactions , Nucl. Phys. 22
1961
Earlier work this paper cites.
J. M. Luttinger, An Exactly Soluble Model of a Many-Fermion System , Journal of Mathematical Physics 4
1963
Earlier work this paper cites.
A. Salam and J. C. Ward, Electromagnetic and weak interactions , Phys. Lett. 13
1964
Earlier work this paper cites.
S. Weinberg, A Model of Leptons , Phys. Rev. Lett. 19
1967
Earlier work this paper cites.
A. Salam, Weak and Electromagnetic Interactions , Conf. Proc. C 680519
1968
Earlier work this paper cites.
D. J. Gross and F. Wilczek, Ultraviolet Behavior of Nonabelian Gauge Theories , Phys. Rev. Lett. 30
1973
Earlier work this paper cites.
H. D. Politzer, Reliable Perturbative Results for Strong Interactions? , Phys. Rev. Lett. 30
1973
Earlier work this paper cites.
H. Georgi and S. L. Glashow, Unity of All Elementary Particle Forces , Phys. Rev. Lett. 32
1974
Earlier work this paper cites.
J. C. Pati and A. Salam, Lepton Number as the Fourth Color , Phys. Rev. D10
1974
Earlier work this paper cites.
H. Fritzsch and P. Minkowski, Unified Interactions of Leptons and Hadrons , Annals Phys. 93
1975
Earlier work this paper cites.
G. Senjanovic and R. N. Mohapatra, Exact Left-Right Symmetry and Spontaneous Violation of Parity , Phys. Rev. D 12
1975
Earlier work this paper cites.
F. Wilczek and A. Zee, Operator Analysis of Nucleon Decay , Phys. Rev. Lett. 43
1979
Earlier work this paper cites.
G. ’t Hooft, Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking , NATO Sci. Ser. B 59
1980
Earlier work this paper cites.
E. Witten, An SU(2) Anomaly , Phys. Lett. 117B
1982
Earlier work this paper cites.
E. Eichten and J. Preskill, Chiral Gauge Theories on the Lattice , Nucl. Phys. B268
1986
Earlier work this paper cites.

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P. W. Anderson, Spin-charge separation is the key to the high Tc cuprates , Physica C Superconductivity 341
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Cited alongside, same era.

Then

D. S. Freed and M. J. Hopkins, Reflection positivity and invertible topological phases , ArXiv e-prints (2016 Apr.), [ arXiv:1604.06527 ]
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2016
Later among the works it cites.
Y. BenTov and A. Zee, Origin of families and S O ( 18 ) SO(18) grand unification , Phys. Rev. D93
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2016
Later among the works it cites.
D. Tong, Line Operators in the Standard Model , JHEP 07
Original
2017
Later among the works it cites.
P. Putrov, J. Wang and S.-T. Yau, Braiding Statistics and Link Invariants of Bosonic/Fermionic Topological Quantum Matter in 2+1 and 3+1 dimensions , Annals Phys. 384
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Later among the works it cites.
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2021

Gauge Enhanced Quantum Criticality Beyond the Standard Model

Wang, Juven, You, Yi-Zhuang

Understand

Standard lore views our 4d quantum vacuum governed by one of the candidate Standard Models (SMs), while lifting towards some Grand Unification-like structure (GUT) at higher energy scales.

In contrast, in our work, we introduce an alternative view that the SM arises from various neighbor vacua competition in a quantum phase diagram.
In general, we regard the SM arising near the gapless quantum criticality (either critical points or critical regions) between the competing neighbor vacua.
In particular, we demonstrate how the $su(3)\times su(2)\times u(1)$ SM with 16n Weyl fermions arises near the quantum criticality between the GUT competition of Georgi-Glashow (GG) $su(5)$ and Pati-Salam (PS) $su(4)\times su(2)\times su(2)$.

Built on

J. Davighi, B. Gripaios and N. Lohitsiri, Global anomalies in the Standard Model(s) and Beyond , arXiv e-prints arXiv:1910.11277 (2019 Oct), [ arXiv:1910.11277 ]
Original
1910
Earlier work this paper cites.
Z. Wan and J. Wang, Beyond Standard Models and Grand Unifications: Anomalies, Topological Terms, and Dynamical Constraints via Cobordisms , JHEP 07
Original
1910
Earlier work this paper cites.
Z. Bi, E. Lake and T. Senthil, Landau ordering phase transitions beyond the Landau paradigm , Phys. Rev. Research. 2
Original
1910
Earlier work this paper cites.
J. Wang, Y.-Z. You and Y. Zheng, Gauge enhanced quantum criticality and time reversal deconfined domain wall: SU(2) Yang-Mills dynamics with topological terms , Phys. Rev. Research. 2
Original
1910
Earlier work this paper cites.
J. Kaidi, J. Parra-Martinez, Y. Tachikawa and w. a. m. a. b. A. Debray, Topological Superconductors on Superstring Worldsheets , SciPost Phys. 9
Original
1911
Earlier work this paper cites.
Z. Wan, J. Wang and Y. Zheng, Higher anomalies, higher symmetries, and cobordisms II: Lorentz symmetry extension and enriched bosonic / fermionic quantum gauge theory , Ann. Math. Sci. Appl. 05
Original
1912
Earlier work this paper cites.
R. Feger, T. W. Kephart and R. J. Saskowski, LieART 2.0 – A Mathematica application for Lie Algebras and Representation Theory , Comput. Phys. Commun. 257
Original
1912
Earlier work this paper cites.
S. Tomonaga, Remarks on Bloch’s Method of Sound Waves applied to Many-Fermion Problems , Progress of Theoretical Physics 5
1950
Earlier work this paper cites.
R. Thom, Quelques propriétés globales des variétés différentiables , Commentarii Mathematici Helvetici 28
1954
Earlier work this paper cites.
J. F. Adams, On the structure and applications of the Steenrod algebra , Comment. Math. Helv. 32
1958
Earlier work this paper cites.
S. L. Glashow, Partial Symmetries of Weak Interactions , Nucl. Phys. 22
1961
Earlier work this paper cites.
J. M. Luttinger, An Exactly Soluble Model of a Many-Fermion System , Journal of Mathematical Physics 4
1963
Earlier work this paper cites.
A. Salam and J. C. Ward, Electromagnetic and weak interactions , Phys. Lett. 13
1964
Earlier work this paper cites.
S. Weinberg, A Model of Leptons , Phys. Rev. Lett. 19
1967
Earlier work this paper cites.
A. Salam, Weak and Electromagnetic Interactions , Conf. Proc. C 680519
1968
Earlier work this paper cites.
D. J. Gross and F. Wilczek, Ultraviolet Behavior of Nonabelian Gauge Theories , Phys. Rev. Lett. 30
1973
Earlier work this paper cites.
H. D. Politzer, Reliable Perturbative Results for Strong Interactions? , Phys. Rev. Lett. 30
1973
Earlier work this paper cites.
H. Georgi and S. L. Glashow, Unity of All Elementary Particle Forces , Phys. Rev. Lett. 32
1974
Earlier work this paper cites.
J. C. Pati and A. Salam, Lepton Number as the Fourth Color , Phys. Rev. D10
1974
Earlier work this paper cites.
H. Fritzsch and P. Minkowski, Unified Interactions of Leptons and Hadrons , Annals Phys. 93
1975
Earlier work this paper cites.
G. Senjanovic and R. N. Mohapatra, Exact Left-Right Symmetry and Spontaneous Violation of Parity , Phys. Rev. D 12
1975
Earlier work this paper cites.
F. Wilczek and A. Zee, Operator Analysis of Nucleon Decay , Phys. Rev. Lett. 43
1979
Earlier work this paper cites.
G. ’t Hooft, Naturalness, chiral symmetry, and spontaneous chiral symmetry breaking , NATO Sci. Ser. B 59
1980
Earlier work this paper cites.
E. Witten, An SU(2) Anomaly , Phys. Lett. 117B
1982
Earlier work this paper cites.
E. Eichten and J. Preskill, Chiral Gauge Theories on the Lattice , Nucl. Phys. B268
1986
Earlier work this paper cites.

Similar

P. W. Anderson, Spin-charge separation is the key to the high Tc cuprates , Physica C Superconductivity 341
2000
Cited alongside, same era.
Princeton, UK: Princeton Univ. Pr. (2010) 576 p, 2003
A. Zee, Quantum field theory in a nutshell · 2003
Cited alongside, same era.
T. Senthil, A. Vishwanath, L. Balents, S. Sachdev and M. P. A. Fisher, Deconfined Quantum Critical Points , Science 303
2004
Cited alongside, same era.
M. Levin and T. Senthil, Deconfined quantum criticality and Néel order via dimer disorder , Phys. Rev. B 70
2004
Cited alongside, same era.
J. Wang, Anomaly and Cobordism Constraints Beyond the Standard Model: Topological Force , arXiv:2006.16996
Original
2006
Cited alongside, same era.

Then

D. S. Freed and M. J. Hopkins, Reflection positivity and invertible topological phases , ArXiv e-prints (2016 Apr.), [ arXiv:1604.06527 ]
Original
2016
Later among the works it cites.
Y. BenTov and A. Zee, Origin of families and S O ( 18 ) SO(18) grand unification , Phys. Rev. D93
Original
2016
Later among the works it cites.
D. Tong, Line Operators in the Standard Model , JHEP 07
Original
2017
Later among the works it cites.
P. Putrov, J. Wang and S.-T. Yau, Braiding Statistics and Link Invariants of Bosonic/Fermionic Topological Quantum Matter in 2+1 and 3+1 dimensions , Annals Phys. 384
Original
2017
Later among the works it cites.
C. Wang, A. Nahum, M. A. Metlitski, C. Xu and T. Senthil, Deconfined quantum critical points: symmetries and dualities , Phys. Rev. X 7

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

A. W. Sandvik, Evidence for deconfined quantum criticality in a two-dimensional heisenberg model with four-spin interactions , Phys. Rev. Lett. 98

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2007

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J. Wang, Anomaly and Cobordism Constraints Beyond Grand Unification: Energy Hierarchy , arXiv:2008.06499

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2008

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S. S. Razamat and D. Tong, Gapped Chiral Fermions , Phys. Rev. X 11

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2009

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S. Galatius, I. Madsen, U. Tillmann and M. Weiss, The homotopy type of the cobordism category , Acta Math. 202

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