On-shell effective field theory: A systematic tool to compute power corrections to the hard thermal loops

Manuel Cristina; Soto Joan; Stetina Stephan

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On-shell effective field theory: A systematic tool to compute power corrections to the hard thermal loops

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We show that effective field theory techniques can be efficiently used to compute power corrections to the hard thermal loops in a high temperature T expansion. To this aim, we use the recently proposed on-shell effective field theory, which describes the quantum fluctuations around on-shell degrees of freedom. We provide the on-shell effective field theory Lagrangian up to third order in the energy expansion for QED and use it for the computation of power corrections to the retarded photon polarization tensor for soft external momenta. Here soft denotes a scale of order eT, where e is the gauge coupling constant. We develop the necessary techniques to perform these computations and study the contributions to the polarization tensor proportional to e(2)T(2), e(2)T, and e(2)T(0). The first one describes the hard thermal loop contribution, the second one vanishes, while the third one provides corrections of order e(2) to the soft photon propagation. We check that the results agree with the direct calculation from QED, up to local pieces, as expected in an effective field theory.

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《Physical review, D》 |2016年第2期|共17页
作者
Manuel Cristina; Soto Joan; Stetina Stephan;
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Inst Ciencias Espacio IEEC CSIC, C Can Magrans Sn, Cerdanyola Del Valles 08193, Catalonia, Spain;

Univ Barcelona, Dept Estruct & Constituents Mat, Marti & Franques 1, E-08028 Barcelona, Catalonia, Spain;

Univ Washington, Inst Nucl Theory, Seattle, WA 98195 USA;

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中图分类粒子物理学;场论;
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On-shell effective field theory: A systematic tool to compute power corrections to the hard thermal loops

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