Fetching the paper…

Reading the bibliography…

2016

Complex saddles in the Gross-Witten-Wadia matrix model

Álvarez, Gabriel, Alonso, Luis Martínez, Medina, Elena

Original
PDF
Post on X

Understand

We give an exhaustive characterization of the complex saddle point configurations of the Gross-Witten-Wadia matrix model in the large-N limit.

In particular, we characterize the cases in which the saddles accumulate in one, two, or three arcs, in terms of the values of the coupling constant and of the fraction of the total unit density that is supported in one of the arcs, and derive an explicit condition for gap closing associated to nonvacuum saddles.
By applying the idea of large-N instanton we also give direct analytic derivations of the weak-coupling and strong-coupling instanton actions.

Complex saddles in the Gross-Witten-Wadia matrix model · Around

Built on

G. ’t Hooft, Nucl. Phys. B 72
1974
Earlier work this paper cites.
D. J. Gross and E. Witten, Phys. Rev. D 21
1980
Earlier work this paper cites.
S. R. Wadia, Phys. Lett. 93B
1980
Earlier work this paper cites.
A. A. Gonchar and E. A. Rakhmanov, Math. USSR Sbornik 125
1984
Earlier work this paper cites.
A. A. Gonchar and E. A. Rakhmanov, Math. USSR Sbornik 62
1989
Earlier work this paper cites.
F. David, Nucl. Phys. B 348
1991
Earlier work this paper cites.
F. David, Phys. Lett. B 302
1993
Earlier work this paper cites.

Similar

G. Bonnet, F. David, and B. Eynard, J. Phys. A: Math. Gen. 33
2000
Cited alongside, same era.
C. I. Lazaroiu, J. High Energy Phys. 03
2003
Cited alongside, same era.
G. Felder and R. Riser, Nuc. Phys. B 691
2004
Cited alongside, same era.
S. Mizoguchi, Nuc. Phys. B 716
2005
Cited alongside, same era.
M. Mariño, R. Schiappa, and M. Weiss, Commun. Number Theory Phys. 2
2008
Cited alongside, same era.
M. Mariño, J. High Energy Phys. 12
2008
Cited alongside, same era.
B. Eynard, J. High Energy Phys. 0903
2009
Cited alongside, same era.

Then

M. Mariño, R. Schiappa, and M. Weiss, J. Math. Phys. 50
2009
Later among the works it cites.
D. Harlow, J. Maltz, and E. Witten, J. High Energy Phys. 12
2011
Later among the works it cites.
C. K. Dumlu and G. V. Dunne, Phys. Rev. D 84
2011
Later among the works it cites.
A. Martínez-Finkelshtein and E. A. Rakhmanov, Commun. Math. Phys. 302
2011
Later among the works it cites.
G. Álvarez, L. Martínez Alonso, and E. Medina, J. Stat. Mech. Theory Exp. , P06006 (2013)
2013
Later among the works it cites.
I. Aniceto, J. G. Russo, and R. Schiappa, J. High Energy Phys. 03
2015
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…

S. Wadia, “A study of U ⁡ ( N ) U(N) lattice gauge theory in 2-dimensions,” arXiv:1212.2906

Cited in the paper.

G. Álvarez, L. Martínez Alonso, and E. Medina, J. Comput. Appl. Math. 284

Cited in the paper.

G. Álvarez, L. Martínez Alonso, and E. Medina, Ann. Phys. 361

Cited in the paper.

T. Eguchi and K. Maruyoshi, J. High Energy Phys. , 022 (2010a)

Cited in the paper.

T. Eguchi and K. Maruyoshi, J. High Energy Phys. , 081 (2010b)

Cited in the paper.

P. V. Buividovich, G. V. Dunne, and S. N. Valgushev, Phys. Rev. Lett. 116

2016

Closest in time.