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Volume dependence in 2+1 Yang-Mills theory · Around

2012

Volume dependence in 2+1 Yang-Mills theory

Perez, Margarita Garcia, Gonzalez-Arroyo, Antonio, Okawa, Masanori

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We present the results of an analysis of a 2+1 dimensional pure SU(N) Yang-Mills theory formulated on a 2-dimensional spatial torus with non-trivial magnetic flux.

We focus on investigating the dependence of the electric-flux spectrum, extracted from Polyakov loop correlators, with the spatial size l, the number of colours N, and the magnetic flux m.
The size of the torus acts a parameter that allows to control the onset of non-perturbative effects.
In the small volume regime, where perturbation theory holds, we derive the one-loop self-energy correction to the single-gluon spectrum, for arbitrary N and m.

Built on

T. Eguchi and H. Kawai, Phys. Rev. Lett. 48
1982
Earlier work this paper cites.
K. Fabricius and O. Haan, Phys. Lett. B 143
Original
1984
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M. Luscher and P. Weisz, [Erratum-ibid. 98
1986
Earlier work this paper cites.

Similar

A. González Arroyo and C. P. Korthals Altes, Nucl. Phys. B 311
1988
Cited alongside, same era.
D. Daniel, A. González-Arroyo, C. P. Korthals Altes and B. Soderberg, Phys. Lett. B 221
1990
Cited alongside, same era.
J. R. Snippe, Phys. Lett. B 389
1997
Cited alongside, same era.
M. García Perez, A. González Arroyo and M. Okawa, Small volume Physics in the 2+1 dimensional Yang-Mills theory
Cited in the paper.

Then

Z. Guralnik, R. C. Helling, K. Landsteiner and E. López, JHEP 0205
2002
Later among the works it cites.
R. Narayanan and H. Neuberger, PoS LAT 2007
Original
2009
Later among the works it cites.
A. González-Arroyo and M. Okawa, JHEP 1007
Original
2012
Closest in time.

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