Topic
Effective action
About: Effective action is a research topic. Over the lifetime, 7082 publications have been published within this topic receiving 191973 citations.
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TL;DR: In this paper, a new mathematical framework for the Wess-Zumino chiral effective action is described, and it is shown that this action obeys an a priori quantization law, analogous to Dirac's quantization of magnetic change.
2,132 citations
TL;DR: In this article, a new exact evolution equation for the scale dependence of an effective action was derived, which allows one to deal with the infrared problems of theories with massless modes in less than four dimensions which are relevant for the high temperature phase transition in particle physics or the computation of critical exponents in statistical mechanics.
1,557 citations
TL;DR: In this paper, a new exact evolution equation for the scale dependence of an effective action was derived, which allows one to deal with the infrared problems of theories with massless modes in less than four dimensions which are relevant for the high temperature phase transition in particle physics or the computation of critical exponents in statistical mechanics.
Abstract: We derive a new exact evolution equation for the scale dependence of an effective action. The corresponding equation for the effective potential permits a useful truncation. This allows one to deal with the infrared problems of theories with massless modes in less than four dimensions which are relevant for the high temperature phase transition in particle physics or the computation of critical exponents in statistical mechanics.
1,340 citations
TL;DR: In this paper, a two-dimensional dilaton gravity system was studied and the symmetry breaking was studied in terms of a Schwarzian derivative effective action for a reparametrization.
Abstract: We study a two dimensional dilaton gravity system, recently examined by Almheiri and Polchinski, which describes near extremal black holes, or more generally, nearly $AdS_2$ spacetimes. The asymptotic symmetries of $AdS_2$ are all the time reparametrizations of the boundary. These symmetries are spontaneously broken by the $AdS_2$ geometry and they are explicitly broken by the small deformation away from $AdS_2$. This pattern of spontaneous plus explicit symmetry breaking governs the gravitational backreaction of the system. It determines several gravitational properties such as the linear in temperature dependence of the near extremal entropy as well as the gravitational corrections to correlation functions. These corrections include the ones determining the growth of out of time order correlators that is indicative of chaos. These gravitational aspects can be described in terms of a Schwarzian derivative effective action for a reparametrization.
1,214 citations
TL;DR: The heat kernel expansion is a very convenient tool for studying one-loop divergences, anomalies and various asymptotics of the effective action as discussed by the authors, and the heat kernel coefficients are given in terms of several geometric invariants.
1,150 citations