G.W. Carter

Neutrino propagation in color superconducting quark matter

We calculate the neutrino mean free path in color superconducting quark matter, and employ it to study the cooling of matter via neutrino diffusion in the superconducting phase as compared to a free quark phase. The cooling process slows when quark matter undergoes a second order phase transition to a superconducting phase at the critical temperature

An effective Lagrangian with broken scale and chiral symmetry II: pion phenomenology

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The quenching of the axial coupling in nuclear and neutron-star matter

Cooling subsequently accelerates as the temperature decreases below

An effective lagrangian with broken scale and chiral symmetry III. Mesons at finite temperature

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AN EFFECTIVE LAGRANGIAN WITH BROKEN SCALE AND CHIRAL SYMMETRY IV : NUCLEONS AND MESONS AT FINITE TEMPERATURE

This will directly impact the early evolution of a newly born neutron star, should its core contain quark matter. Consequently, there may be observable changes in the early neutrino emission which would provide evidence for superconductivity in hot and dense matter.

Effective model for hot gluodynamics

Abstract We extend an effective Lagrangian embodying broken scale and chiral symmetry to include explicit chiral symmetry breaking and an additional chiral-invariant term which allows for an axial coupling constant greater than unity. We also include a chiral Lagrangian for the isotriplet vector mesons which leads to a renormalization of the pion field. The properties of nuclear matter and nuclei, low-energy πN scattering and the behavior of quantities such as the pion mass and axial coupling at finite density are discussed.

The nonperturbative color Meissner effect in a two-flavor color superconductor

Abstract Using a chirally invariant effective Lagrangian, we calculate the density and isospin dependencies of the in-medium axial coupling, g A ∗ , in spatially uniform matter present in core collapse supernovae and neutron stars. The quenching of g A ∗ with density in matter with different proton fractions is found to be similar. However, our results suggest that the quenching of the nucleons g A ∗ in matter with hyperons is likely to be significantly greater than in matter with nucleons only.

TOWARDS A THEORY OF INSTANTONS AT NON-ZERO FERMION DENSITY

Abstract We investigate the finite temperature behavior of the meson sector of an effective Lagrangian which describes nuclear matter. A method is developed for evaluating the logarithmic terms in the effective potential which involves expansion and resummation; the result is written in terms of the exponential integral. In the absence of explicit chiral symmetry breaking, a phase transition restores the symmetry at a temperature of 190 MeV; when the pion has a mass the transition is smooth. At a much higher temperature a first order phase transition restores scale symmetry.

Do instantons and strings cluster when the number of colors is large

Abstract We study the finite temperature properties of an effective chiral Lagrangian which describes nuclear matter. Thermal fluctuations in both the nucleon and the meson fields are considered. The logarithmic and square root terms in the effective potential are evaluated by expansion and resummation with the result written in terms of the exponential integral and the error function, respectively. In the absence of explicit chiral symmetry breaking a phase transition restores the symmetry, but when the pion has a mass the transition is smooth. The nucleon and meson masses as a functions of density and temperature are discussed.

Finding the pion in the chiral random matrix vacuum

We consider an effective Lagrangian containing contributions from glueball and gluon degrees of freedom with a scale-invariant coupling between the two. The thermodynamic potential is calculated taking into account thermal fluctuations of both fields. The glueball mean field dominates at low temperature, while the high temperature phase is governed by low-mass gluonlike excitations. The model shows some similarities to the lattice results in the pure glue sector of QCD. In particular, it exhibits a strong first order phase transition at a critical temperature of approximately 265 MeV when reasonable parameters are taken. (c) 2000 The American Physical Society.