Three-quark clusters at finite temperatures and densities

Beyer, Michael; Mattiello, S.; Frederico, T.; Weber, H. J.

doi:10.1016/s0370-2693(01)01175-3

Cited by 31 publications

(67 citation statements)

References 39 publications

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“…Our result for w, is compatible with the findings of [4,5], i.e. w is always the exponential of the equal time energy P 0 in the local rest frame of the system.…”

Section: Introductionsupporting

confidence: 91%

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Finite-Temperature Field Theory on the Light Front

Raufeisen

Brodsky

2005

Few-Body Systems

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Abstract.The formulation of statistical physics using light-front quantization, instead of conventional equal-time boundary conditions, has important advantages for describing relativistic statistical systems, such as heavy ion collisions. We develop light-front field theory at finite temperature and density with special attention to quantum chromodynamics. First, we construct the most general form of the statistical operator allowed by the Poincaré algebra. In light-front quantization, the Green's functions of a quark in a medium can be defined in terms of just 2-component spinors and does not lead to doublers in the transverse directions. Since the theory is non-local along the light cone, we use causality arguments to construct a solution to the related zero-mode problem. A seminal property of light-front Green's functions is that they are related to parton densities in coordinate space. Namely, the diagonal and offdiagonal parton distributions measured in hard scattering experiments can be interpreted as light-front density matrices. Dirac's front form of relativistic dynamics [1] has remarkable advantages in high energy and nuclear physics. Most appealing is the simplicity of the vacuum (the ground state of the free theory is also the ground state of the full theory) and the existence of boost-invariant light-cone wavefunctions (see Ref.[2] for a review.) This makes light-front quantization a natural candidate for the description of systems for which boost invariance is an issue, such as the fireball created in a heavy ion collision or the small-x features of a nuclear wavefunction. Until now, however, most applications of Dirac's front form refer to the case of zero temperature. It is clearly important to exploit the advantages of light-front quantization also for thermal field theory. In this talk, we report our recent findings, see Ref.[3], where we applied front-form dynamics to statistical * Presented by

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“…Our result for w, is compatible with the findings of [4,5], i.e. w is always the exponential of the equal time energy P 0 in the local rest frame of the system.…”

Section: Introductionsupporting

confidence: 91%

“…[3], where we applied front-form dynamics to statistical physics and investigated the prospects and challenges of this approach for quantum chromodynamic systems. Valuable work in this direction has already been done by several authors [4,5,6].…”

Section: Introductionmentioning

confidence: 99%

Finite-Temperature Field Theory on the Light Front

Raufeisen

Brodsky

2005

Few-Body Systems

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“…Our lightfront in-medium Green function (18) given first in [5] shows no basic difference (up to conventions and phase space) from the ones given later [11]. However, we do have used a different representation more useful for actual few-body calculations.…”

Section: Many-body Green Functionsmentioning

confidence: 97%

“…[9] and refs therein). Here I give a brief summary and the generalization to the light-front dynamics [5,6]. In fact, the light-cone quantization is well suited to use the many-body Green function formalism as it utilizes the Fock space expansion [4].…”

Section: Many-body Green Functionsmentioning

confidence: 99%

Light-Front Field Theory of Hot and Dense Quark Matter

Beyer

2005

Few-Body Systems

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Abstract. Extending the concepts of light-front field theory to quantum statistics provides a novel approach towards nuclear matter under extreme conditions. Such conditions exist, e.g., in neutron stars or in the early stage of our universe. They are experimentally expected to occur in heavy ion collisions, e.g., at RHIC and accelerators to be build at GSI and CERN. Light-front field theory is particularly suited, since it is based on a relativistic Hamiltonian approach. It allows us to treat the perturbative as well as the nonperturbative regime of QCD and also correlations that emerge as a field of few-body physics and is important for hadronization. Last but not least the Hamiltonian approach is useful for nonequilibrium processes by utilizing, e.g., the formalism of nonequilibrium statistical operators. Finite temperature and the light-frontAt first sight, it seems difficult to define proper temperature T for a system "on the light-front", because there is no Lorentz transformation to the rest frame of an observer, who is holding the thermometer. Despite the fact that this is formally clarified by now (see Sect. 2), I would like to motivate, how temperature could survive "on the light-front". Consider the Fermi distribution for the canonical ensemble of a noninteracting gas in the instant formwhere k 0 on = + √ m 2 + k 2 is the on-shell energy of a one-particle state with respect to the medium frame. Let the velocity of the medium be given by the time-like vector u = (u 0 , u), where u 2 = 1. If the medium is at rest with respect to the observer, u = (1, 0). For convenience we introduce the momentum of the medium 1 P = M 0 u with P 2 = M 2 0 . Following Susskind [1] we now assume * Presented at Light-Cone 2004, Amsterdam, 16 -20 August 1 This can be done, e.g., before the thermodynamic limit, so that the mass of the noninteracting system M0 can be achieved by summing all the single-particle energies.

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“…(1) represents the conventional light-front frame (CLF) while for A = 0, B = 1 we have the oblique light-front frame (OLF) where most of the discussions of statistical mechanics have been carried out thus far [3,4,5,7,8]. In general, if a quantum field theory quantized at equal time t is at temperature T M in the Minkowski space, then by Tolman's law [9], the corresponding temperature for the theory quantized at equalt in the generalized light-front frame is given by…”

Section: Introductionmentioning

confidence: 99%

Unruh effect in the general light-front frame

2005

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We study the phenomenon of Unruh effect in a massless scalar field theory quantized on the light-front in the general light-front frame. We determine the uniformly accelerating coordinates in such a frame and through a direct transformation show that the propagator of the theory has a thermal character in the uniformly accelerating coordinate system with a temperature given by Tolman's law. We also carry out a systematic analysis of this phenomenon from the Hilbert space point of view and show that the vacuum of this theory appears as a thermal vacuum to a Rindler observer with the same temperature as given by Tolman's law.

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Three-quark clusters at finite temperatures and densities

Cited by 31 publications

References 39 publications

Finite-Temperature Field Theory on the Light Front

Finite-Temperature Field Theory on the Light Front

Light-Front Field Theory of Hot and Dense Quark Matter

Unruh effect in the general light-front frame

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