Thermal Field Theory

Bellac, Michel Le

doi:10.1017/cbo9780511721700

Cited by 1,300 publications

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“…If this were the traditional four-dimensional set up, we could have introduced the p-wave diquark condensate (LR-pair) in the Nambu-Gor'kov propagator. [Such condensate would have occupied the anti-diagonal slots of the matrix (32).] However, this is not allowed in our theory.…”

Section: Dyson-schwinger Equationsmentioning

confidence: 97%

“…Notice that if the condensates, ∆ ± , in the denominators vanish there are terms that diverge as the energy is scaled toward the Fermi surface, i.e., p 0 → 0 and | p| → µ. This is essentially due to the sign structure of the chemical potential in the matrix (32) and to the fact that the ∆-matrices occupy off block-diagonal components. This infrared divergence is cured by the formation of the condensate and the ∆ properly behaves as such a condensate.…”

Section: Dyson-schwinger Equationsmentioning

confidence: 99%

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Sakai-Sugimoto brane system at high density

Yamada

2008

J. High Energy Phys.

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The D4-D8 brane system of Sakai-Sugimoto model at high quark density is studied in the weak coupling regime. We show that the color superconducting phase (for N c ≈ 3) or the chiral density wave (for N c → ∞) disappears at very large chemical potential, or equivalently at very large compactified dimension that the model possesses. We also comment on the prospects in the strong coupling regime along with the QCD phase diagram.

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Section: Dyson-schwinger Equationsmentioning

confidence: 97%

Section: Dyson-schwinger Equationsmentioning

confidence: 99%

Sakai-Sugimoto brane system at high density

Yamada

2008

J. High Energy Phys.

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“…Current correlator and the spectral function of vector mesons Thermal field theory is the appropriate framework to carry out perturbative calculations in the medium. In the real time version of this formalism two point functions assume a 2 × 2 matrix structure on account of the shape of the contour in the complex time plane [16,17]. It is convenient to begin with the quantity,…”

Section: Dilepton Emission Rate and The Current Correlation Functionmentioning

confidence: 99%

“…The self-energy is also a 2 × 2 matrix and is diagonalisable by the matrix U −1 . The real and imaginary parts of the self energy function can then be obtained from the 11-component as [17,10] ReΠ…”

Section: Dilepton Emission Rate and The Current Correlation Functionmentioning

confidence: 99%

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In-medium vector mesons and low mass lepton pairs from heavy ion collisions

Sarkar

Ghosh

2012

J. Phys.: Conf. Ser.

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Abstract.The ρ and ω meson self-energy at finite temperature and baryon density have been analysed for an exhaustive set of mesonic and baryonic loops in the real time formulation of thermal field theory. The large enhancement of spectral strength below the nominal ρ mass is seen to cause a substantial enhancement in dilepton pair yield in this mass region. The integrated yield after space-time evolution using relativistic hydrodynamics with quark gluon plasma in the initial state leads to a very good agreement with the experimental data from In-In collisions obtained by the NA60 collaboration. IntroductionColliding heavy ions at ultra-relativistic energies is the only way to produce and study bulk properties of strongly interacting matter. Systematic efforts, both theoretical and experimental over the last few decades [1,2] have addressed various facets of the thermodynamics of the underlying theory − QCD. The spectra of hadrons emitted after freeze-out of the fireball produced in heavy ion collisions have provided us with a wealth of information. This includes the recent discovery made by studying the elliptic flow of hadrons that the quark gluon plasma (QGP) produced in Au+Au collisions at RHIC actually behaves as a strongly interacting fluid [3] as opposed to a asymptotically free gas of quarks and gluons. However, by virtue of the fact that electromagnetic probes (real photons and dileptons) are emitted all through the lifetime of the fireball coupled with their low rescattering probability make them penetrating probes capable of mapping the space-time history of the collision [4]. Lepton pairs with both invariant mass and transverse momentum information are in fact preferable to real photons. Large mass pairs produced by Drell-Yan process and from the decays of heavy quarkonia are emitted early whereas pairs with low invariant mass radiated from thermal hadronic matter and Dalitz decays of hadrons are produced late in the collision. The invariant mass spectra of dileptons thus carry time information as displayed explicitly in [5] using the invariant mass dependence of the elliptic flow of lepton pairs.The rate of production of thermal dileptons is proportional to the two-point correlator of vector currents [6]. In the low invariant mass region which is dominated by lepton pairs produced during the later stages of the collision, dilepton emission takes place due to the decay of vector mesons. Consequently, the spectral properties of vector mesons, the ρ meson in particular has been a subject of intense discussion [7,4,2,8]. We find that it is only for the π − π loop that

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Nonequilibrium quantum anharmonic oscillator and scalar field: high temperature approximations

Alvarez‐Estrada¹

2009

Ann. Phys.

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We treat a relativistic quantum boson gas, described by a scalar quantum field, with quartic self-interaction (φ 4 ) in three spatial dimensions: we review the known equilibrium case and present new proposals offequilibrium. For high temperature and large spatial scales, the behaviour of the gas at equilibrium simplifies nonperturbatively (equilibrium dimensional reduction or EDR): its thermodynamics is described by classical statistical mechanics with some quantum field effects. By assumption, the initial state of the gas offequilibrium includes interactions and inhomogeneities and is not far from thermal equilibrium. We employ real-time generating functionals and obtain the free nonequilibrium correlators at non-zero temperature. The nonequilibrium quantum gas appears to simplify nonperturbatively in the regime of high temperature and large temporal and spatial scales (nonequilibrium dimensional reduction or NEDR), its dynamics being described by classical statistical mechanics with some quantum field effects. We outline the renormalization of the φ 4 theory, the nonequilibrium statistical mechanics of a quantum anharmonic oscillator and the high temperature simplifications, all of which provide very useful hints for NEDR in the field case. Our main proposals are NEDR and the associated new (renormalized) real-time nonequilibrium generating functionals for the φ 4 theory.

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Thermal Field Theory

Cited by 1,300 publications

References 0 publications

Sakai-Sugimoto brane system at high density

Sakai-Sugimoto brane system at high density

In-medium vector mesons and low mass lepton pairs from heavy ion collisions

Nonequilibrium quantum anharmonic oscillator and scalar field: high temperature approximations

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