Renormalization of QCD under longitudinal rescaling

Title: Renormalization of QCD under longitudinal rescaling
Identifier: d_2009_2013:1afa6021a97d:10304
identifier: 10254
Creator: Xiao, Jing,
Contributor: Peter Orland
Date: 2009
Language: English
Publisher: City University of New York.
Subject: High energy physics | Longitudnal Rescaling | QCD | Wilsonian Renormaliztion
Abstract: Under a longitudinal rescaling of coordinates x 0,3 → lambdax0,3, lambda << 1, the classical QCD action simplifies dramatically. This is the high-energy limit, as lambda &sim; s-1/2 where s is the center-of-mass energy squared of a hadronic collision. We find the quantum corrections to the rescaled action at one loop, in particular finding the anomalous powers of lambda in this action, with lambda < 1. The method is an integration over high-momentum components of the gauge field. This is a Wilsonian renormalization procedure, and counterterms are needed to make the sharp-momentum cut-off gauge invariant. Our result for the quantum action is found, assuming |ln lambda| << 1, which is essential for the validity of perturbation theory. If lambda is sufficiently small (so that |ln lambda| >> 1), then the perturbative renormalization group breaks down. This is due to uncontrollable fluctuations of the longitudinal chromomagnetic field.
Type: dissertation
Source: 2009_2013.csv
degree: Ph.D.
Program: Physics