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Related papers: Thermal forward scattering amplitudes in temporal …

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The approach which relates thermal Green functions to forward scattering amplitudes of on-shell thermal particles is applied to the calculation of the gluon self-energy, in a class of temporal gauges. We show to all orders that, unlike the…

High Energy Physics - Theory · Physics 2009-10-31 F. T. Brandt , J. Frenkel , F. R. Machado

The thermal one- and two-graviton Green's function are computed using a temporal gauge. In order to handle the extra poles which are present in the propagator, we employ an ambiguity-free technique in the imaginary-time formalism. For…

High Energy Physics - Theory · Physics 2009-11-07 F. T. Brandt , B. Cuadros-Melgar , F. R. Machado

We study, to one loop order, the behavior of the gluon self-energy in the non covariant Coulomb gauge at finite temperature. The cancellation of the peculiar energy divergences, which arise in such a gauge, is explicitly verified in the…

High Energy Physics - Theory · Physics 2008-11-26 F. T. Brandt , Ashok Das , J. Frenkel

We extend to a general class of covariant gauges an approach which relates the thermal Green functions to forward scattering amplitudes of thermal particles. A brief discussion of the non-transversality of the thermal gluon polarization…

High Energy Physics - Theory · Physics 2009-10-30 F. T. Brandt , J. Frenkel

We develop systematically to all orders the forward scattering description for retarded amplitudes in field theories at zero temperature. Subsequently, through the application of the thermal operator, we establish the forward scattering…

High Energy Physics - Theory · Physics 2008-11-26 Fernando T. Brandt , Ashok Das , Josif Frenkel , Silvana Perez

The $S$-matrix pinch technique is used to derive an effective gluon self-energy to one-loop order, when the theory is quantized in the Coulomb gauge (CG) and in the temporal axial gauge (TAG). When the pinch contributions are added, the…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Passera , K. Sasaki

We study the graviton self-energy function in a general gauge, using a hard thermal loop expansion which includes terms proportional to T^4, T^2 and log(T). We verify explicitly the gauge independence of the leading T^4 term and obtain a…

High Energy Physics - Theory · Physics 2009-10-31 F. T. Brandt , J. Frenkel

We show that the logarithmic divergences that appear in the classical approximation of the finite temperature SU(N) self-energy are transverse. We use the Ward identities in linear gauges and the fact that the superficial degree of…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Arrizabalaga , B. J. Nauta , Ch. G. van Weert

We examine the gluon scattering amplitude in N=4 super Yang-Mills at finite temperature with nonzero R-charge densities, and in Non-Commutative gauge theory at finite temperature. The gluon scattering amplitude is defined as a light-like…

High Energy Physics - Theory · Physics 2011-08-17 George Georgiou , Dimitrios Giataganas

The pinch technique (PT) is applied to obtain the gauge-independent resummed gluon self-energy in a hot Yang-Mills gas. Calculation is performed at one- loop level in linear gauges which preserve rotational invariance and the res ummed…

High Energy Physics - Phenomenology · Physics 2009-10-30 Ken Sasaki

We study, in the imaginary time formalism, the relation between loops and on-shell forward scattering tree amplitudes in thermal field theories. This allows for an efficient evaluation, at all temperatures, of Green's functions with causal…

High Energy Physics - Theory · Physics 2023-04-24 F. T. Brandt , J. Frenkel , S. Martins-Filho , D. G. C. McKeon , G. S. S. Sakoda

A prescription is presented to construct manifestly gauge invariant tree-level scattering amplitudes with one or two off-shell initial-state gluons for processes with arbitrary particles in the final state, which allows for calculations…

High Energy Physics - Phenomenology · Physics 2013-07-09 A. van Hameren

The thermal self-energy of gluons generally depends on four Lorentz-invariant functions. Only two of these occur in the hard thermal loop approximation of Braaten and Pisarski because of the abelian Ward identity $K_{\mu}\Pi^{\mu\nu}_{\rm…

High Energy Physics - Phenomenology · Physics 2009-10-30 H. Arthur Weldon

We compare the use of the Coulomb gauge in finite temperature QED with a recently proposed prescription for covariant gauges, in which only the transverse photon degrees of freedom are thermalized. Using the Landau rule as a guide, we…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. C. D'Olivo , Jose F. Nieves

The asymptotic behavior as t\to\infty and r\to\infty of the hard-thermal-loop propagator D^{\mu\nu}(t,r) is computed in the Coulomb gauge. The asymptotic falloff is always a power law though generally different in the deep time-like and…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Arthur Weldon

We give a simple argument for the cancellation of the log(-k^2) terms (k is the gluon momentum) between the zero-temperature and the temperature-dependent parts of the thermal self-energy.

High Energy Physics - Theory · Physics 2009-10-31 F. T. Brandt , J. Frenkel

We consider the Ginzburg-Landau model, confined in an infinitely long rectangular wire of cross-section $L_{1}\times L_{2}$. Our approach is based on the Gaussian effective potential in the transverse unitarity gauge, which allows to treat…

Superconductivity · Physics 2015-06-25 A. P. C. Malbouisson , Y. W. Milla , I. Roditi

The expression of the HTL resumed gluon propagator in the light cone gauge is derived. In the real time mechanism, using the Mandelstam Leibbrant prescription of $(n\cdot K)^{-1}$, we calculate the transverse and longitudinal parts of the…

High Energy Physics - Phenomenology · Physics 2018-04-18 Qi Chen , De-fu Hou

The longitudinal-electric oscillations of the hot gluon system are studied beyond the well known leading order term at high temperature $T$ and small coupling $g$. The coefficient $\eta$ in $\omega^2 = m^2 \, (1+ \eta \, g \wu N \, )$ is…

High Energy Physics - Phenomenology · Physics 2009-10-22 Hermann Schulz

It is proposed to use the pinch technique (PT) to obtain the gauge-independent thermal $\beta$ function $\beta_T$ in a hot Yang-Mills gas. Calculations of the thermal $\beta$ function are performed at one-loop level in four different…

High Energy Physics - Phenomenology · Physics 2009-10-28 Ken Sasaki
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