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Chan, Lai-Him; Haymaker, Richard W.

doi:10.1103/physrevd.7.402

Cited by 46 publications

(20 citation statements)

References 18 publications

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“…The mass of the strange constituent quark is M s g F y= 2 p . The explicit expression for the mesonic sector of the Lagrangian obtained after performing the traces can be found in [16,17]. The sum of terms linear in the fluctuations gives two equations of state which at one-loop level are…”

Section: The Model and The Determination Of Its Parametersmentioning

confidence: 99%

Critical surface of theSU(3)L×SU(3)Rchiral quark model at nonzero baryon density

Kovács

Szép

2007

Phys. Rev. D

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Section: The Model and The Determination Of Its Parametersmentioning

confidence: 99%

Critical surface of theSU(3)L×SU(3)Rchiral quark model at nonzero baryon density

Kovács

Szép

2007

Phys. Rev. D

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“…The field H introduces an additional Sp(4) singlet that is the analog of the η in QCD and 5 additional scalars that form a multiplet of the SO(5) unbroken symmetry, and are the analogue of the a 0 isovectors of QCD. The treatment presented here is indeed a generalization of what done in the context of the linear-sigma-model description of low-energy QCD [34][35][36][37][38].…”

Section: Jhep04(2017)036mentioning

confidence: 99%

Symmetry restoration at high-temperature in two-color and two-flavor lattice gauge theories

Lee

Lucini

Piai

2017

J. High Energ. Phys.

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We consider the SU(2) gauge theory with N f = 2 flavors of Dirac fundamental fermions. We study the high-temperature behavior of the spectra of mesons, discretizing the theory on anisotropic lattices, and measuring the two-point correlation functions in the temporal direction as well as screening masses in various channels. We identify the (pseudo-)critical temperature as the temperature at which the susceptibility associated with the Polyakov loop has a maximum. At high temperature both the spin-1 and spin-0 sectors of the light meson spectra exhibit enhanced symmetry properties, indicating the restoration of both the global SU(4) and the axial U(1) A symmetries of the model.

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“…To our knowledge, the proper renormalisation of its 2PI-Hartree approximation appears here for the first time in the literature. The four-point coupling tensors describing the self-interaction of scalars and pseudoscalar mesons and the interaction between them is usually written in the following form [26,4]:…”

Section: The Su (N ) × Su (N ) Meson Model In 2pi-hartree Approximationmentioning

confidence: 99%

Renormalisability of the 2PI-Hartree approximation of multicomponent scalar models in the broken symmetry phase

2008

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Non-perturbative renormalisation of a general class of scalar field theories is performed at the Hartree level truncation of the 2PI effective action in the broken symmetry regime. Renormalised equations are explicitly constructed for the one-and two-point functions. The non-perturbative counterterms are deduced from the conditions for the cancellation of the overall and the subdivergences in the complete Hartree-Dyson-Schwinger equations, with a transparent method. The procedure proposed in the present paper is shown to be equivalent to the iterative renormalisation method of Blaizot et al.[1]. MotivationOne of the most popular approximation techniques in many-body quantum theory is the Hartree approximation. In quantum field theory it corresponds to the momentum independent two-loop truncation of the two-particle irreducible effective action. It is used extensively both in equilibrium [2,3,4] and out-of-equilibrium [5,6,7,8] non-perturbative investigations of phase transition phenomena. Its non-perturbative renormalisability was demonstrated as particular case of the general proof of renormalisability of the physical quantities computed in various 2PI approximations [9,1,10]. These proofs are rather involved especially in the broken symmetry phase. For this reason in many practical applications the renormalised equations are not constructed explicitly. For instance, investigations of the finite temperature phase transitions in strongly interacting matter frequently either omit zero temperature quantum corrections in the 2PI approximate equations of the relevant 1-and 2-point functions [3,4,11] or take into account vacuum fluctuations by applying some cut-off [12].The exact generating 2PI-functional Γ[Φ, G] fulfils generalised Ward-Takahashi identities reflecting global internal symmetries of the models. As a consequence the 1PI effective potential Γ[Φ, G(Φ)]

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Closed-Loop Corrections to the SU3× SU3
Lai-Him Chan
¹
,
Richard W. Haymaker
²

Cited by 46 publications

References 18 publications

Critical surface of theSU(3)L×SU(3)Rchiral quark model at nonzero baryon density

Critical surface of theSU(3)L×SU(3)Rchiral quark model at nonzero baryon density

Symmetry restoration at high-temperature in two-color and two-flavor lattice gauge theories

Renormalisability of the 2PI-Hartree approximation of multicomponent scalar models in the broken symmetry phase

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Closed-Loop Corrections to the SU3× SU3Lai-Him Chan1, Richard W. Haymaker2

Cited by 46 publications

References 18 publications

Critical surface of theSU(3)L×SU(3)Rchiral quark model at nonzero baryon density

Critical surface of theSU(3)L×SU(3)Rchiral quark model at nonzero baryon density

Symmetry restoration at high-temperature in two-color and two-flavor lattice gauge theories

Renormalisability of the 2PI-Hartree approximation of multicomponent scalar models in the broken symmetry phase

Contact Info

Product

Resources

About

Closed-Loop Corrections to the SU3× SU3
Lai-Him Chan
¹
,
Richard W. Haymaker
²