Phase transition in non-abelian gauge theory SU (2)‎

Abstract EN

We have defined the non-abelian pure gauge theory SU (2) on a torus.

Fourier modes are discrete throughout this definition.

For enough small size, we have treated the non-glueball modes as a perturbation of zero modes.

Infra-red singularity is not appearing throughout the discrete momentums.

The temperature depending contributions of the effective potential of the non-abelian glueball gauge fields are continuously calculated by us, for the first time on an asymmetric torus, till the fourth grade of gauge fields.

So, L is the length of the torus in space direction and is the length in time direction (the inverse of temperature).

The Phase transition is indicated by the coefficient instead of the cou-pling constant g