Basics of Thermal Field Theory

  title={Basics of Thermal Field Theory},
  author={Mikko Sakari Laine and Aleksi Vuorinen},
These lecture notes, suitable for a two-semester introductory course or self-study, offer an elementary and self-contained exposition of the basic tools and concepts that are encountered in practical computations in perturbative thermal field theory. Selected applications to heavy ion collision physics and cosmology are outlined in the last chapter. 1A corresponding ebook has been published as Springer Lecture Notes in Physics 925 (2016) and is available through… 
Geometrically confined thermal field theory: Finite size corrections and phase transitions
Motivated by the recent shocking results from RHIC and LHC that show quark-gluon plasma signatures in small systems, we study a simple model of a massless, noninteracting scalar field confined with
Perturbative aspects of the deconfinement transition -- Physics beyond the Faddeev-Popov model
In the case of non-abelian gauge theories, the standard Faddeev-Popov (FP) gauge-fixing procedure in the Landau gauge is known to be incomplete due to the presence of gauge-equivalent field
Transverse momentum broadening of high-energy partons from 3D lattice EQCD simulations
Heavy-ion collision experiments and related theoretical efforts of understanding the strong interaction constitute key endeavors in the modern pursuit of understanding nature. A central field of
Towards Divergence-free Theory of Quantum Fields
We present a new framework in which the interactions among quantum fields are constrained by Lorentz-invariant thermalization. Thermalization, which occurs as a natural and inevitable consequence of
General equilibrium second-order hydrodynamic coefficients for free quantum fields
A bstractWe present a systematic calculation of the corrections of the stress-energy tensor and currents of the free boson and Dirac fields up to second order in thermal vorticity, which is relevant
Symmetry breaking at high temperatures in large N gauge theories
Considering marginally relevant and relevant deformations of the weakly coupled (3 + 1)-dimensional large N conformal gauge theories introduced in [1], we study the patterns of phase transitions in
Freezing-in a hot bath: resonances, medium effects and phase transitions
Relic density calculations of dark matter freezing out from the primordial plasma have reached a high level of sophistication, with several numerical tools readily available that match the
Non-perturbative thermal QCD at all temperatures: the case of mesonic screening masses
We present a general strategy to study non-perturbatively thermal QCD up to very high temperatures. As a first concrete application, we compute the flavour non-singlet meson screening masses at 12
Erratum: Finite-Temperature Conformal Field Theory Results for All Couplings: O(N) Model in 2+1 Dimensions [Phys. Rev. Lett. 122, 231603 (2019)].
This corrects the article DOI: 10.1103/PhysRevLett.122.231603 to reflect that the paper was originally published in Physical Review Letters, not RevLett, rather than Science, which is correct.
Spectral function of fermions in a highly occupied non-Abelian plasma
We develop a method to obtain fermion spectral functions non-perturbatively in a non-Abelian gauge theory with high occupation numbers of gauge fields. After recovering the free field case, we


Thermodynamic potentials from shifted boundary conditions: the scalar-field theory case
A bstractIn a thermal field theory, the cumulants of the momentum distribution can be extracted from the dependence of the Euclidean path integral on a shift in the fields built into the temporal
Symmetry Behavior at Finite Temperature
Spontaneous symmetry breaking at finite temperature is studied. We show that for the class of theories discussed, symmetry is restored above a critical temperature βc−1. We determine βc by a
Three-loop free energy for pure gauge QCD.
  • Arnold, Zhai
  • Physics, Medicine
    Physical review. D, Particles and fields
  • 1994
The free energy density for pure non-Abelian gauge theory at high temperature and zero chemical potential is computed and a result for the free energy of scalar [phi][sup 4] theory is given.