Analytic continuation of thermal<i>N</i>-point functions from imaginary to real energies

Baier, Rudolf; Niégawa, A.

doi:10.1103/physrevd.49.4107

Cited by 30 publications

(49 citation statements)

References 34 publications

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“…(11,12) is used to eliminate one of the transformed functions D XY (p) [6][7][8][9]. Such a transformation is particularly useful in non-equilibrium situations, where a relation such as Eq.…”

Section: The Keldysh Basismentioning

confidence: 99%

“…(11,12) translate into the trivial vanishing of two of the transformed functions D XY (p) of Eq. (9).…”

Section: The Ra Basismentioning

confidence: 99%

“…, z n ) of the imaginary-time formalism, where initially all energy components of z i are in the discrete set of Matsubara frequencies on the imaginary axis. For the retarded products the relation is [10,11,12,13,15] …”

Section: Comparisons Of the Basesmentioning

confidence: 99%

“…A common example is the linear response of the field to a weak external current [1,9], which involves the retarded propagator ∆ R . This product also arises in a comparison of certain analytic continuations of the n-point functions in the imaginary-time formalism to functions in real-time formalisms [2,10,11,12,13]. As the retarded propagator can be written as…”

Section: Introductionmentioning

confidence: 99%

“…It could then be of some advantage to choose the transformation so that either one or both of the relations of Eqs. (11,12) translate into the trivial vanishing of either one or two of the D XY (p). It may be noted that the transformation of Eq.…”

Section: Introductionmentioning

confidence: 99%

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Transformations of real-time finite-temperature Feynman rules

1994

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We consider transformations of the 2 × 2 propagator matrix in real-time finite-temperature field theory, resulting in transformed npoint functions. As special cases of such a transformation we examine the Keldysh basis, the retarded/advanced RA basis, and a Feynmanlike FF basis, which differ in this context as to how "economically" certain constraints on the original propagator matrix elements are 0 implemented. We also obtain the relation between some of these realtime functions and certain analytic continuations of the imaginarytime functions. Finally, we compare some aspects of these bases which arise in practical calculations.

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Section: The Keldysh Basismentioning

confidence: 99%

“…(11,12) translate into the trivial vanishing of two of the transformed functions D XY (p) of Eq. (9).…”

Section: The Ra Basismentioning

confidence: 99%

Section: Comparisons Of the Basesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Transformations of real-time finite-temperature Feynman rules

1994

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Thermal Quantum Field Theory and Perturbative Non-Equilibrium Dynamics

Millington

2014

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Act  (as amended) and regulations issued under it or, where appropriate, in accordance with licensing agreements which the University has from time to time. This page must form part of any such copies made.iii. The ownership of certain Copyright, patents, designs, trade marks and other intellectual property (the "Intellectual Property") and any reproductions of copyright works in the thesis, for example graphs and tables ("Reproductions"), which may be described in this thesis, may not be owned by the author and may be owned by third parties. Such Intellectual Property and Reproductions cannot and must not be made available for use without the prior written permission of the owner(s) of the relevant Intellectual Property and/or Reproductions. iv. Further information on the conditions under which disclosure, publication and commercialisation of this thesis, the Copyright and any Intellectual Property and/or Reproductions described in it may take place is available in the University IP Policy (see http://www.campus.manchester.ac.uk/medialibrary/ policies/intellectual-property.pdf), in any relevant Thesis restriction PrefacePeter graduated master of physics first class with honours in .Turning down the offer of undertaking a research degree with Manchester's Condensed Matter Group, Peter chose to continue his post-graduate studies under the supervision of Prof. Apostolos Pilaftsis. The project that they were set to tackle would turn out to touch base with each of Peter's seemingly-fickle interests: astrophysics, cosmology, thermodynamics, condensed matter physics and theoretical particle physics. This project was the application of thermal quantum field theory to the evolution of systems out of thermodynamic equilibrium.

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Introduction

Millington

2013

Thermal Quantum Field Theory and Perturbative Non-Equilibrium Dynamics

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Analytic continuation of thermalN-point functions from imaginary to real energies

Cited by 30 publications

References 34 publications

Transformations of real-time finite-temperature Feynman rules

Transformations of real-time finite-temperature Feynman rules

Thermal Quantum Field Theory and Perturbative Non-Equilibrium Dynamics

Introduction

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