Behavior of the S parameter in the crossover region between walking and QCD-like regimes of an SU(N) gauge theory

Journal Article · Fri Sep 01 00:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.056003· OSTI ID:20871144

Kurachi, Masafumi; Shrock, Robert ^[1]

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1. C.N. Yang Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11794 (United States)

We consider a vectorial, confining SU(N) gauge theory with a variable number, N{sub f}, of massless fermions transforming according to the fundamental representation. Using the Schwinger-Dyson and Bethe-Salpeter equations, we calculate the S parameter in terms of the current-current correlation functions. We focus on values of N{sub f} such that the theory is in the crossover region between the regimes of walking behavior and QCD-like (nonwalking) behavior. Our calculations indicate that the contribution to S from a given fermion decreases as one moves from the QCD-like to the walking regimes. The implications of this result for technicolor theories are discussed.

• OSTI ID: 20871144
• Journal Information: Physical Review. D, Particles Fields, Vol. 74, Issue 5; Other Information: DOI: 10.1103/PhysRevD.74.056003; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC CURRENTS
BETHE-SALPETER EQUATION
CORRELATION FUNCTIONS
FERMIONS
GAUGE INVARIANCE
QUANTUM CHROMODYNAMICS
SU GROUPS