Built on

T. Azeyanagi, M. Hanada, T. Hirata and T. Ishikawa, Phase structure of twisted Eguchi-Kawai model , JHEP 01
Original
1925
Earlier work this paper cites.
G. ’t Hooft, A Property of Electric and Magnetic Flux in Nonabelian Gauge Theories , Nucl. Phys. B153
1979
Earlier work this paper cites.
E. Witten, Instantons, the Quark Model, and the 1/n Expansion , Nucl. Phys. B149
1979
Earlier work this paper cites.
I. Affleck, The Role of Instantons in Scale Invariant Gauge Theories , Nucl. Phys. B162
1980
Earlier work this paper cites.
D. J. Gross, R. D. Pisarski and L. G. Yaffe, QCD and Instantons at Finite Temperature , Rev. Mod. Phys. 53
1981
Earlier work this paper cites.
A. Gonzalez-Arroyo and M. Okawa, Large N N reduction with the Twisted Eguchi-Kawai model , JHEP 07
Original
1981
Earlier work this paper cites.
T. Eguchi and H. Kawai, Reduction of Dynamical Degrees of Freedom in the Large N Gauge Theory , Phys. Rev. Lett. 48
1982
Earlier work this paper cites.
G. Bhanot, U. M. Heller and H. Neuberger, The Quenched Eguchi-Kawai Model , Phys. Lett. B113
1982
Earlier work this paper cites.
A. Gonzalez-Arroyo and M. Okawa, A Twisted Model for Large N N Lattice Gauge Theory , Phys. Lett. B120
1983
Earlier work this paper cites.
A. Gonzalez-Arroyo and M. Okawa, The Twisted Eguchi-Kawai Model: A Reduced Model for Large N Lattice Gauge Theory , Phys. Rev. D27
1983
Earlier work this paper cites.
D. Tong, The Moduli space of BPS domain walls , Phys. Rev. D66
2002
Earlier work this paper cites.
M. Eto, Y. Isozumi, M. Nitta, K. Ohashi and N. Sakai, Solitons in the Higgs phase: The Moduli matrix approach , J. Phys. A39
2006
Earlier work this paper cites.
M. Eto, T. Fujimori, Y. Isozumi, M. Nitta, K. Ohashi, K. Ohta et al., Non-Abelian vortices on cylinder: Duality between vortices and walls , Phys. Rev. D73
2006
Earlier work this paper cites.

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2016

Global symmetries, volume independence and continuity

Sulejmanpasic, Tin

Understand

We discuss quantum field theories with global $SU(N)$ and $O(N)$ symmetries for which the temporal direction is compactified on a circle of size $L$ with periodicity of fields up to a global symmetry transformation, i.e.

twisted boundary conditions.
Such boundary conditions correspond to an insertion of the global symmetry operator in the partition function.
We argue that for a special choice of twists most of the excited states get projected out, leaving only either mesonic states or states whose energy scales with $N$.

Built on

T. Azeyanagi, M. Hanada, T. Hirata and T. Ishikawa, Phase structure of twisted Eguchi-Kawai model , JHEP 01
Original
1925
Earlier work this paper cites.
G. ’t Hooft, A Property of Electric and Magnetic Flux in Nonabelian Gauge Theories , Nucl. Phys. B153
1979
Earlier work this paper cites.
E. Witten, Instantons, the Quark Model, and the 1/n Expansion , Nucl. Phys. B149
1979
Earlier work this paper cites.
I. Affleck, The Role of Instantons in Scale Invariant Gauge Theories , Nucl. Phys. B162
1980
Earlier work this paper cites.
D. J. Gross, R. D. Pisarski and L. G. Yaffe, QCD and Instantons at Finite Temperature , Rev. Mod. Phys. 53
1981
Earlier work this paper cites.
A. Gonzalez-Arroyo and M. Okawa, Large N N reduction with the Twisted Eguchi-Kawai model , JHEP 07
Original
1981
Earlier work this paper cites.
T. Eguchi and H. Kawai, Reduction of Dynamical Degrees of Freedom in the Large N Gauge Theory , Phys. Rev. Lett. 48
1982
Earlier work this paper cites.
G. Bhanot, U. M. Heller and H. Neuberger, The Quenched Eguchi-Kawai Model , Phys. Lett. B113
1982
Earlier work this paper cites.
A. Gonzalez-Arroyo and M. Okawa, A Twisted Model for Large N N Lattice Gauge Theory , Phys. Lett. B120
1983
Earlier work this paper cites.
A. Gonzalez-Arroyo and M. Okawa, The Twisted Eguchi-Kawai Model: A Reduced Model for Large N Lattice Gauge Theory , Phys. Rev. D27
1983
Earlier work this paper cites.
D. Tong, The Moduli space of BPS domain walls , Phys. Rev. D66
2002
Earlier work this paper cites.
M. Eto, Y. Isozumi, M. Nitta, K. Ohashi and N. Sakai, Solitons in the Higgs phase: The Moduli matrix approach , J. Phys. A39
2006
Earlier work this paper cites.
M. Eto, T. Fujimori, Y. Isozumi, M. Nitta, K. Ohashi, K. Ohta et al., Non-Abelian vortices on cylinder: Duality between vortices and walls , Phys. Rev. D73
2006
Earlier work this paper cites.