Built on

M.A. Silaev, G.E.Volovik, Evolution of edge states in topological superfluids during the quantum phase transition, Pis’ma ZhETF 95
Original
1980
Earlier work this paper cites.
H.B. Nielsen, M. Ninomiya: Absence of neutrinos on a lattice. I - Proof by homotopy theory, Nucl. Phys. B 185
1981
Earlier work this paper cites.
H. So, Induced topological invariants by lattice fermions in odd dimensions, Prog. Theor. Phys. 74
1985
Earlier work this paper cites.
K. Ishikawa and T. Matsuyama, Magnetic field induced multi component QED in three-dimensions and quantum Hall effect, Z. Phys. C 33
1986
Earlier work this paper cites.
D.B. Kaplan, Method for simulating chiral fermions on the lattice, Phys. Lett. B 288
1992
Earlier work this paper cites.
M.F.L. Golterman, K. Jansen and D.B. Kaplan, Chern-Simons currents and chiral fermions on the lattice, Phys.Lett. B 301
1993
Earlier work this paper cites.
I.Montvay, G.Munster, Quantum fields on a lattice, Cambridge University press, 1994
Original
1994
Earlier work this paper cites.
Frederic D.R. Bonnet, Patrick O. Bowman, Derek B. Leinweber, Anthony G. Williams, J. B. Zhang, Overlap Quark Propagator in Landau Gauge, Phys.Rev.D65:114503,2002
2002
Earlier work this paper cites.
G.E. Volovik, The Universe in a Helium Droplet
2003
Earlier work this paper cites.

Similar

P. Hořava, Stability of Fermi surfaces and K K -theory, Phys. Rev. Lett. 95
2005
Cited alongside, same era.
Mario Schrock, The chirally improved quark propagator and restoration of chiral symmetry, arXiv:1112.5107. J. B. Zhang, Patrick O. Bowman, Ryan J. Coad, Urs M. Heller, Derek B. Leinweber, Anthony G. Williams, Quark propagator in Landau and Laplacian gauges with overlap fermions, Phys.Rev.D71:014501,2005, arXiv:hep-lat/0410045
Original
2005
Cited alongside, same era.
E.Z. Kuchinskii, M.V. Sadovskii, Non - Fermi Liquid Behavior in Fluctuating Gap Model: From Pole to Zero of the Green’s function E.Z. Kuchinskii, M.V. Sadovskii JETP 103 (2006) 415, arXiv:cond-mat/0602406
2006
Cited alongside, same era.
G.E. Volovik, Quantum phase transitions from topology in momentum space, in: Quantum Analogues: From Phase Transitions to Black Holes and Cosmology, Eds. W.G. Unruh and R. Schutzhold, Springer Lecture Notes in Physics 718/2007, pp. 31-73; cond-mat/0601372
2007
Cited alongside, same era.

Then

G.E. Volovik, Topological invariants for Standard Model: from semi-metal to topological insulator, Pis’ma ZhETF 91
Original
2010
Later among the works it cites.
M.Z. Hasan and C.L. Kane, Topological Insulators, Rev. Mod. Phys. 82
2010
Later among the works it cites.
M.A. Silaev and G.E. Volovik, Topological superfluid 3 He-B: fermion zero modes on interfaces and in the vortex core, J. Low Temp. Phys. 161
Original
2010
Later among the works it cites.
A.M. Essin and V. Gurarie, Bulk-boundary correspondence of topological insulators from their Green’s functions, Phys. Rev. B 84
2011
Later among the works it cites.
V. Gurarie, Single-particle Green-s functions and interacting topological insulators, Phys. Rev. B 83
2011
Later among the works it cites.

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2012

Momentum space topology in the lattice gauge theory

Zubkov, M. A.

Understand

Momentum space topology of relativistic gauge theory is considered.

The topological invariants in momentum space are introduced for the case, when there is the mass gap while the fermion Green functions admit zeros.
The index theorem is formulated that relates the number of massless particles and generalized unparticles at the phase transitions to the jumps of the topological invariants.
The pattern is illustrated by the lattice model with overlap fermions.

Built on

M.A. Silaev, G.E.Volovik, Evolution of edge states in topological superfluids during the quantum phase transition, Pis’ma ZhETF 95
Original
1980
Earlier work this paper cites.
H.B. Nielsen, M. Ninomiya: Absence of neutrinos on a lattice. I - Proof by homotopy theory, Nucl. Phys. B 185
1981
Earlier work this paper cites.
H. So, Induced topological invariants by lattice fermions in odd dimensions, Prog. Theor. Phys. 74
1985
Earlier work this paper cites.
K. Ishikawa and T. Matsuyama, Magnetic field induced multi component QED in three-dimensions and quantum Hall effect, Z. Phys. C 33
1986
Earlier work this paper cites.
D.B. Kaplan, Method for simulating chiral fermions on the lattice, Phys. Lett. B 288
1992
Earlier work this paper cites.
M.F.L. Golterman, K. Jansen and D.B. Kaplan, Chern-Simons currents and chiral fermions on the lattice, Phys.Lett. B 301
1993
Earlier work this paper cites.
I.Montvay, G.Munster, Quantum fields on a lattice, Cambridge University press, 1994
Original
1994
Earlier work this paper cites.
Frederic D.R. Bonnet, Patrick O. Bowman, Derek B. Leinweber, Anthony G. Williams, J. B. Zhang, Overlap Quark Propagator in Landau Gauge, Phys.Rev.D65:114503,2002
2002
Earlier work this paper cites.
G.E. Volovik, The Universe in a Helium Droplet
2003
Earlier work this paper cites.

Similar

P. Hořava, Stability of Fermi surfaces and K K -theory, Phys. Rev. Lett. 95
2005
Cited alongside, same era.
Mario Schrock, The chirally improved quark propagator and restoration of chiral symmetry, arXiv:1112.5107. J. B. Zhang, Patrick O. Bowman, Ryan J. Coad, Urs M. Heller, Derek B. Leinweber, Anthony G. Williams, Quark propagator in Landau and Laplacian gauges with overlap fermions, Phys.Rev.D71:014501,2005, arXiv:hep-lat/0410045
Original
2005
Cited alongside, same era.
E.Z. Kuchinskii, M.V. Sadovskii, Non - Fermi Liquid Behavior in Fluctuating Gap Model: From Pole to Zero of the Green’s function E.Z. Kuchinskii, M.V. Sadovskii JETP 103 (2006) 415, arXiv:cond-mat/0602406
2006
Cited alongside, same era.
G.E. Volovik, Quantum phase transitions from topology in momentum space, in: Quantum Analogues: From Phase Transitions to Black Holes and Cosmology, Eds. W.G. Unruh and R. Schutzhold, Springer Lecture Notes in Physics 718/2007, pp. 31-73; cond-mat/0601372
2007
Cited alongside, same era.

Then

G.E. Volovik, Topological invariants for Standard Model: from semi-metal to topological insulator, Pis’ma ZhETF 91
Original
2010
Later among the works it cites.
M.Z. Hasan and C.L. Kane, Topological Insulators, Rev. Mod. Phys. 82
2010
Later among the works it cites.
M.A. Silaev and G.E. Volovik, Topological superfluid 3 He-B: fermion zero modes on interfaces and in the vortex core, J. Low Temp. Phys. 161
Original
2010
Later among the works it cites.
A.M. Essin and V. Gurarie, Bulk-boundary correspondence of topological insulators from their Green’s functions, Phys. Rev. B 84
2011
Later among the works it cites.
V. Gurarie, Single-particle Green-s functions and interacting topological insulators, Phys. Rev. B 83
2011
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Howard Georgi (2007). ”Another Odd Thing About Unparticle Physics”. Physics Letters B 650 (4): 275-278. arXiv:0704.2457. Bibcode 2007PhLB..650..275G. doi:10.1016/j.physletb.2007.05.037. Howard Georgi (2007). ”Unparticle Physics”. Physical Review Letters 98 (22): 221601. arXiv:hep-ph/0703260. Bibcode 2007PhRvL..98v1601G. doi:10.1103/PhysRevLett.98.221601

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2007

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Mingxing Luo, Guohuai Zhu, Some Phenomenologies of Unparticle Physics, Phys.Lett.B659:341-344,2008

2008

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M. Creutz, Four-dimensional graphene and chiral fermions, JHEP 04 (2008) 017; arXiv:0712.1201

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2008

Cited alongside, same era.

Rahul Basu, Debajyoti Choudhury, H. S. Mani, Fermionic un-particles, gauge interactions and the β \beta function, Eur.Phys.J.C61:461-470,2009

2009

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Kathryn M. Zurek, TASI 2009 Lectures: Searching for Unexpected Physics at the LHC, arXiv:1001.2563

Original

2009

Cited alongside, same era.

Generalized unparticles, zeros of the Green function, and momentum space topology of the lattice model with overlap fermions, M. A. Zubkov, Phys. Rev. D 86, 034505

Cited in the paper.

G.E. Volovik, Topology of quantum vacuum, draft for Chapter in proceedings of the Como Summer School on analogue gravity, arXiv:1111.4627

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Cited in the paper.

D.B. Kaplan and Sichun Sun, Spacetime as a topological insulator, arXiv:1112.0302

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Xiao-Liang Qi and Shou-Cheng Zhang, Topological insulators and superconductors, Rev. Mod. Phys. 83

2011

Later among the works it cites.

M.A.Zubkov, G.E.Volovik, Momentum space topological invariants for the 4 D 4D relativistic vacua with mass gap, Nuclear Physics B (2012) doi:10.1016/j.nuclphysb.2012.03.002, ArXiv:1201.4185

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