Barton expansion and the path integral approach in thermal field theory

Brandt, F. T.; McKeon, D. G. C.

doi:10.1103/physrevd.54.6435

Cited by 4 publications

(6 citation statements)

References 23 publications

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“…In principle 2 , we can also obtain all corrections in a power expansion of p/T . For N = 4, parts of our results overlap with the world-line calculation in [16].…”

Section: Beyond Hard Thermal Loopssupporting

confidence: 43%

“…In [12][13][14] the formulation was extended to finite temperatures, and the finite T method was subsequently used in several studies of the effective action [15,16]. One of our main objectives here is to demonstrate that this formalism has further feasible and attractive applications at finite temperature.…”

Section: Introductionmentioning

confidence: 99%

“…At T = 0, the world-line method has been developed and successfully applied to a variety of problems for a long time (see [11] and references therein). In [12][13][14] the formulation was extended to finite temperatures, and the finite T method was subsequently used in several studies of the effective action [15,16]. One of our main objectives here is to demonstrate that this formalism has further feasible and attractive applications at finite temperature.…”

Section: Introductionmentioning

confidence: 99%

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Hard thermal loops and beyond in the finite temperature world-line formulation of QED

Venugopalan

Wirstam

2001

Phys. Rev. D

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We derive the hard thermal loop action for soft electromagnetic fields in the finite temperature world-line formulation at imaginary time, by first integrating out the hard fermion modes from the microscopic QED action. Further, using the finite T world-line method, we calculate all static higher order terms in the soft electromagnetic field. At high T , the leading non-linear terms are independent of the temperature and, except for a term quartic in the time component of the vector potential, they cancel exactly against the vacuum contribution. The remaining T -dependent non-linear terms become more strongly suppressed by the temperature as the number of soft fields increases, thus making the expansion reliable. Applications of this method to other theories and problems at the soft scale are also briefly discussed.

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“…In principle 2 , we can also obtain all corrections in a power expansion of p/T . For N = 4, parts of our results overlap with the world-line calculation in [16].…”

Section: Beyond Hard Thermal Loopssupporting

confidence: 43%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Hard thermal loops and beyond in the finite temperature world-line formulation of QED

Venugopalan

Wirstam

2001

Phys. Rev. D

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“…This method has been derived using both the imaginary time formalism and the real time formalism up to two-loop order [15,16]. There is also an interesting relation with the path integral approach [17].…”

Section: Introductionmentioning

confidence: 99%

Finite temperature gluon self-energy in a class of temporal gauges

2000

Self Cite

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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 case of covariant gauges, the exact self-energy of the gluon is transverse at finite temperature. The leading T^2 and the sub-leading ln(T) contributions are obtained for temperatures T high compared with the external momentum. The logarithmic contributions have the same structure as the ultraviolet pole terms which occur at zero temperature.Comment: 9 pages, 3 figures (Revised version to be published in Phys. Rev. D

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“…Such leading contributions to the effective action arise from one loop diagrams where the internal momentum is of order T which is much larger than any external momentum. The corresponding hard thermal effective actions have been derived from the point of view of thermal field theory [3,4,5,6,7,8,9] as well as from the point of view of semi-classical transport equations [10,11,12,13,14,15,16]. It is known from these studies that the hard thermal effective actions are gauge invariant and, in general, are non-local except in the static limit where they become local.…”

Section: Introductionmentioning

confidence: 99%

Hard thermal effective actions in the Schwinger formulation

Das

Frenkel

2007

Phys. Rev. D

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We derive the properties of hard thermal effective actions in gauge theories from the point of view of Schwinger's proper time formulation. This analysis is simplified by introducing a set of generalized energy and momenta which are conserved and are non-local in general. These constants of motion, which embody energy-momentum exchanges between the fields and the particles along their trajectories, can be related to a class of gauge invariant or covariant potentials in the hard thermal regime. We show that in this regime the generalized energy, which is non-local in general, generates the characteristic non-local behavior of the hard thermal effective actions.

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Barton expansion and the path integral approach in thermal field theory

Cited by 4 publications

References 23 publications

Hard thermal loops and beyond in the finite temperature world-line formulation of QED

Hard thermal loops and beyond in the finite temperature world-line formulation of QED

Finite temperature gluon self-energy in a class of temporal gauges

Hard thermal effective actions in the Schwinger formulation

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