Longitudinal rescaling and high-energy effective actions

Journal Article · Wed Jul 01 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.016005· OSTI ID:21308569

Orland, Peter; Jing, Xiao ^[1]

---

1. Baruch College, City University of New York, 17 Lexington Avenue, New York, New York 10010 (United States) and Graduate School and University Center, City University of New York, 365 Fifth Avenue, New York, New York 10016 (United States)

Under a longitudinal rescaling of coordinates x{sup 0,3}{yields}{lambda}x{sup 0,3}, {lambda}<<1, the classical QCD action simplifies dramatically. This is the high-energy limit, as {lambda}{approx}s{sup -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 cutoff 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.

• OSTI ID: 21308569
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 1 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CENTER-OF-MASS SYSTEM
COLLISIONS
CORRECTIONS
GAUGE INVARIANCE
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
RENORMALIZATION