The $\epsilon$-regime of dilaton chiral perturbation theory

Abstract

The $\epsilon$-regime of dilaton chiral perturbation theory is introduced. We compute the dilaton mass, the chiral condensate and the topological susceptibility in the $\epsilon$-regime, as a function of the fermion mass. The microscopic spectral density of the Dirac operator is obtained from dilaton chiral perturbation theory. Our main result is that the chiral condensate and the spectral density are related to their counterparts from ordinary chiral perturbation theory via a simple scaling relation. This relation originates from the mass dependence of the dilaton potential, and is valid in both the $\epsilon$-regime and the $p$-regime. In the $\epsilon$-regime, moreover, all results agree with the universal predictions to leading order in $\epsilon$.

25 pages, 2 tables

References in corpus (12)

• Phase of the Fermion Determinant at Nonzero Chemical Potential
• The QCD Sign Problem for Small Chemical Potential
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• Effective pion mass term and the trace anomaly
• The Chiral Condensate in a Finite Volume
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• Observations on the Wilson fermions in the epsilon regime
• Finite size scaling of meson propagators with isospin chemical potential
• Volume scaling of Dirac eigenvalues in SU(3) lattice gauge theory with color sextet fermions
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• The Sign Problem via Imaginary Chemical Potential

Cited by in corpus (4)

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• The Coulomb branch of N=4 SYM and dilatonic scions in supergravity
• Gravitational form factors of the nucleon in the Skyrme model based on scale-invariant chiral perturbation theory
• Charging the conformal window at nonzero $\theta$ angle