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Journal of High Energy Physics Volume 2009 JHEP06(2009) Create an alert RSS this journal

Margarita García Pérez et al JHEP06(2009)065 doi:10.1088/1126-6708/2009/06/065

Adjoint fermion zero-modes for SU(N) calorons

Margarita García Péreza, Antonio González-Arroyoa,b and Alfonso Sastrea,b

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Abstract References Cited By
We derive analytic formulas for the zero-modes of the Dirac equation in the adjoint representation in the background field of Q = 1 SU(N) calorons. Solutions with various boundary conditions are obtained, including the physically most relevant cases of periodic and anti-periodic ones. The latter are essential ingredients in a semi-classical treatment of finite temperature supersymmetric Yang-Mills theory. A detailed discussion of adjoint zero-modes in several other contexts is also presented.

Keywords

Supersymmetric gauge theory

Solitons Monopoles and Instantons

 

E-print Number: 0905.0645

Cited: by |

Refers: to

PACS

11.30.Pb Supersymmetry

11.15.Kc Classical and semiclassical techniques

12.38.-t Quantum chromodynamics

11.30.Ly Other internal and higher symmetries

Subjects

Particle physics and field theory

Dates

Issue 06 (June 2009)

Received 7 May 2009, accepted for publication 29 May 2009

Published 22 June 2009



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