Reliable semiclassical computations in QCD

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.065015· OSTI ID:21421197

Dine, Michael ^[1]; Festuccia, Guido; Pack, Lawrence; Weitao, Wu ^[1]

---

1. Santa Cruz Institute for Particle Physics and Department of Physics, University of California, Santa Cruz California 95064 (United States)

We revisit the question of whether or not one can perform reliable semiclassical QCD computations at zero temperature. We study correlation functions with no perturbative contributions, and organize the problem by means of the operator product expansion, establishing a precise criterion for the validity of a semiclassical calculation. For N{sub f}>N, a systematic computation is possible; for N{sub f}<N, it is not. N{sub f}=N is a borderline case. In our analysis, we see explicitly the exponential suppression of instanton effects at large N. As an application, we describe a test of QCD lattice gauge theory computations in the chiral limit.

• OSTI ID: 21421197
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 6; Other Information: DOI: 10.1103/PhysRevD.82.065015; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
CORRELATION FUNCTIONS
GAUGE INVARIANCE
LATTICE FIELD THEORY
OPERATOR PRODUCT EXPANSION
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
SEMICLASSICAL APPROXIMATION
SIMULATION
TEMPERATURE ZERO K
APPROXIMATIONS
CALCULATION METHODS
CONSTRUCTIVE FIELD THEORY
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
SERIES EXPANSION