Introduction to Nonequilibrium Quantum Field Theory

By J. Berges. 2004

495 citations recorded by the source corpus.

There has been substantial progress in recent years in the quantitative understanding of the nonequilibrium time evolution of quantum fields. Important topical applications, in particular in high energy particle physics and cosmology, involve dynamics of quantum fields far away from the ground state or thermal equilibrium. In these cases, standard approaches based on small deviations from equilibrium, or on a sufficient homogeneity in time underlying kinetic descriptions, are not applicable. A particular challenge is to connect the far‐from‐equilibrium dynamics at early times with the approach to thermal equilibrium at late times. Understanding the “link” between the early‐ and the late‐time behavior of quantum fields is crucial for a wide range of phenomena. For the first time questions such as the explosive particle production at the end of the inflationary universe, including the subsequent process of thermalization, can be addressed in quantum field theory from first principles. The progress in this f...

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/224f4dfe70c66e17f0bd505f16710d602146b861

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In Astronomy and Astrophysics

1. V. Cirigliano
2. A. Vlasenko
3. Alexander Rothkopf
4. G. Fuller

In Nuclear and High Energy Physics

1. V. Cirigliano
2. A. Vlasenko
3. Alexander Rothkopf
4. G. Fuller
5. K. Abazajian
6. S. Horiuchi
7. J. Kneller
8. M. Shaposhnikov

In Statistical and Nonlinear Physics

1. V. Cirigliano
2. A. Vlasenko
3. Alexander Rothkopf
4. G. Fuller

Citations in the corpus

• Heavy quarkonium in extreme conditions (2019, background): “Excellent introductions to quantum fields in and out-of thermal equilibrium can be found in reviews [10, 11, 12] and textbooks [13, 14, 15].”
• Baryogenesis from the weak scale to the grand unification scale (2020, unknown): “(141) These correlation functions satisfy the following Kadanoff-Baym equations (Baym and Kadanoff, 1961; Berges, 2004): 1,q∆ − q (t1, t2) =− ∫ t1 t2 dt′Π−q (t1, t ′)∆−q (t ′, t2) , 1,q∆ + q (t1, t2) =− ∫ t1 ti dt′Π−q (t1, t ′)∆+q (t ′, t2) + ∫ t2 ti dt′Π+q (t1, t ′)∆−q (t ′, t2) , (142) where we…”
• Neutrino quantum kinetics (2013, methodology): “Spectral and Statistical Functions We can use the dynamics of the two-point function G to describe the evolution of neutrino distributions, starting with arbitrary non-equilibrium initial conditions, by employing the closed time path (CTP) formalism [64].”