Critical region of the finite temperature chiral transition

Kogut, John B.; Stephanov, Mikhail; Strouthos, Costas

doi:10.1103/physrevd.58.096001

Cited by 57 publications

(122 citation statements)

References 18 publications

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“…This apparent contradiction was explained in Ref. [7] where, by means of scaling arguments, it was shown that the width of the Ising critical region scales as a power of 1/N f , so that only mean-field behavior can be observed in the limit N f = ∞. An analogous behavior was observed in a generalized O(N) σ model in Ref.…”

Section: Introductionmentioning

confidence: 89%

Large- chiral transition in the Yukawa model

2006

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We investigate the finite-temperature behavior of the Yukawa model in which N f fermions are coupled with a scalar field φ in the limit N f → ∞. Close to the chiral transition the model shows a crossover between mean-field behavior (observed for N f = ∞) and Ising behavior (observed for any finite N f ). We show that this crossover is universal and related to that observed in the weakly-coupled φ 4 theory. It corresponds to the renormalization-group flow from the unstable Gaussian fixed point to the stable Ising fixed point. This equivalence allows us to use results obtained in field theory and in medium-range spin models to compute Yukawa correlation functions in the crossover regime.

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Section: Introductionmentioning

confidence: 89%

Large- chiral transition in the Yukawa model

2006

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“…We have studied lattices with temporal extent L t = 16, for which the critical point for the Z 2 symmetric model is estimated to be β T c = 0.790(5) [15], and the high temperature chirally restored phase can thus be studied for β T c < β < β bulk c . A particular virtue of GNM 3 is that, unlike unquenched QCD, it permits a study of hot dynamics with current resources with L t sufficiently large to permit the measurement of thermal masses from correlators in Euclidean time.…”

Section: Nonzero Temperaturementioning

confidence: 99%

Mesonic wave functions in the three-dimensional Gross-Neveu model

2002

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We present results from a numerical study of bound state wavefunctions in the (2+1)-dimensional Gross-Neveu model with staggered lattice fermions at both zero and nonzero temperature. Mesonic channels with varying quantum numbers are identified and analysed. In the strongly coupled chirally broken phase at T = 0 the wavefunctions expose effects due to varying the interaction strength more effectively than straightforward spectroscopy. In the weakly coupled chirally restored phase information on fermion -anti-fermion scattering is recovered. In the hot chirally restored phase we find evidence for a screened interaction. The T = 0 chirally symmetric phase is most readily distinguished from the symmetric phase at high T via the fermion dispersion relation.

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“…If the cutoff Λ ≫ T the renormalized selfinteraction coupling λ(T ) in the large-N f limit is close to the IR fixed point of the Yukawa theory and is given by λ(T ) ∼ T Therefore, for d = 3 the Ginzburg criterion for the applicability of the mean field scaling is given by m σ (T ) ≫ T / N f . This scenario was verified numerically in [5]. Additional evidence in favor of the dimensional reduction scenario was produced in studies of the U (1)-symmetric NJL 3 model [6].…”

Section: Universality At Nonzero Temperaturementioning

confidence: 74%

Phase diagram of the three-dimensional NJL model

Strouthos

2003

Refereed and Selected Contributions From International Conference on Quark Nuclear Physics

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Abstract. With the exception of confinement the three-dimensional Nambu−Jona-Lasinio (NJL3) model incorporates many of the essential properties of QCD. We discuss the critical properties of the model at nonzero temperature T and/or nonzero chemical potential µ. We show that the universality class of the thermal transition is that of the d = 2 classical spin model with the same symmetry. We provide evidence for the existence of a tricritical point in the (µ, T ) plane. We also discuss numerical results by Hands et al. which showed that the system is critical for µ > µc and the diquark condensate is zero.

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Critical region of the finite temperature chiral transition

Cited by 57 publications

References 18 publications

Large- chiral transition in the Yukawa model

Large- chiral transition in the Yukawa model

Mesonic wave functions in the three-dimensional Gross-Neveu model

Phase diagram of the three-dimensional NJL model

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