Lectures on Matrix Field Theory by Badis Ydri

Author:Badis Ydri
Language: eng
Format: epub, pdf
Publisher: Springer International Publishing, Cham

Thus

(4.154)

Integrating both sides over p we get

(4.155)

Thus

(4.156)

We conclude that

(4.157)

The function f(k) is such that

(4.158)

The above equation can also be put into the form

(4.159)

The physical solution is

(4.160)

The minimum is determined by the function f(k). It is given by the equation

(4.161)

In perturbation theory we have the asymptotic behaviour

(4.162)

Thus in one-loop perturbation theory we must have

(4.163)

A model is given by

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