The Phase Structure of an SU(N) Gauge Theory with N_f Flavors

Details The Phase Structure of an SU(N) Gauge Theory with N_f Flavors The Phase Structure of an SU(N) Gauge Theory with N_f Flavors

1998-06-24

arxiv.org/abs/hep-ph/9806472v2

Phys.Rev. D58 (1998) 105017

Physics

High Energy Physics

High Energy Physics - Phenomenology

34 pages, 1 figure. More references added

Scientific paper

10.1103/PhysRevD.58.105017

We investigate the chiral phase transition in SU(N) gauge theories as the number of quark flavors, $N_f$, is varied. We argue that the transition takes place at a large enough value of $N_f$ so that it is governed by the infrared fixed point of the $\beta$ function. We study the nature of the phase transition analytically and numerically, and discuss the spectrum of the theory as the critical value of $N_f$ is approached in both the symmetric and broken phases. Since the transition is governed by a conformal fixed point, there are no light excitations on the symmetric side. We extend previous work to include higher order effects by developing a renormalization group estimate of the critical coupling.

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