More on the [sigma] to fermion mass ratio in the linear [sigma] model and Nambu--Jona-Lasinio model

Journal Article · Mon Nov 15 04:00:00 EST 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.48.4924· OSTI ID:5948375

Fishbane, P M ^[1]; Norton, R E ^[2]

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1. Department of Physics and Institute of Nuclear and Particle Physics, University of Virginia, Charlottesville, Virginia 22901 (United States)
2. Department of Physics, University of California, Los Angeles, California 90024-1547 (United States)

We calculate the two-loop contributions to the [beta] functions for the Yukawa coupling constant [ital G] and the four-scalar coupling constant [lambda] in the linear [sigma] model using a mass-independent renormalization scheme. The results are used to obtain a correction to the infrared fixed point value for [lambda]/[ital G][sup 2]. We argue that this is the leading correction to the fixed point value for this ratio in the regime of fine-tuning, and use our results to complete a calculation of the ratio of the [sigma] mass to the fermion mass to order [ital G][sup 2]. Our calculation also applies to the Nambu--Jona-Lasinio model.

• OSTI ID: 5948375
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 48:10; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662120* -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYONS
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CORRECTIONS
COUPLING CONSTANTS
ELEMENTARY PARTICLES
FERMIONS
HADRONS
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INFRARED DIVERGENCES
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MATHEMATICAL MODELS
NUCLEAR POTENTIAL
PARTICLE MODELS
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SIGMA MODEL
SIGMA PARTICLES
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SYMMETRY BREAKING
ULTRAVIOLET DIVERGENCES
YUKAWA POTENTIAL