Fixed point analysis of a scalar theory with an external field
A.Bonanno, D.Zappala'
TL;DR
This paper develops a momentum-dependent projection of the Wegner-Hougton equation for a scalar theory with an external field, aiding the analysis of its phase diagram and fixed points.
Contribution
It introduces a new formalism for analyzing scalar theories with external fields using a momentum-dependent projection of the Wegner-Hougton equation.
Findings
Properties of the Gaussian fixed point are examined.
The formalism facilitates phase diagram discussions.
Abstract
A momentum dependent projection of the Wegner-Hougton equation is derived for a scalar theory coupled to an external field. This formalism is useful to discuss the phase diagram of the theory. In particular we study some properties of the Gaussian fixed point.
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