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The Yang-Mills gradient flow in finite volume · Around

2012

The Yang-Mills gradient flow in finite volume

Fodor, Zoltan, Holland, Kieran, Kuti, Julius et al.

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The Yang-Mills gradient flow is considered on the four dimensional torus T^4 for SU(N) gauge theory coupled to N_f flavors of massless fermions in arbitrary representations.

The small volume dynamics is dominated by the constant gauge fields.
The expectation value of the field strength tensor squared is calculated for positive flow time t by treating the non-zero gauge modes perturbatively and the zero modes exactly.
The finite volume correction to the infinite volume result is found to contain both algebraic and exponential terms.

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T. Takaishi and P. de Forcrand, Phys. Rev. E

2006

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