Finite temperature field theory

By M. Lombardo. 2001

812 citations recorded by the source corpus.

These lectures review phases and phase transitions of the Standard Model, with emphasis on those aspects which are amenable to a first principle study. Model calculations and theoretical ideas of practical applicability are discussed as well. Contents: 1.Overview; 2. Field Theory at Finite Temperature and Density; 3.Critical Phenomena; 4.Electroweak Interactions at Finite Temperature; 5. Thermodynamics of Four Fermions models; 6.The Phases of QCD; 7.QCD at Finite Temperature, $\mu_B = 0$; 8.QCD at Finite Temperature, $\mu_B \ne 0$.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/8e0fb1e5914737cd2d4fe57623fcee46e0fc6978

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In Nuclear and High Energy Physics

1. C. Fischer
2. Zoltán Fodor
3. J. Redondo
4. Sándor D. Katz
5. Kálmán K. Szabó
6. A. Ringwald
7. S. Borsányi
8. V. Koch

Citations in the corpus

• Equation of state of a dense and magnetized fermion system (2010, background): “The partition function (42) can be written as a functional integral [28] Z = ∫ [dφ]e ∫ β 0 dτ ∫ d(3)xL(τ,x) (43) where L(τ, x) is the many-particle system Lagrangian density (i.”
• Properties of hot and dense matter from relativistic heavy ion collisions (2015, background): “The electric screening scale also determines the properties of collective gluonic modes, see [298].”
• NJL-model analysis of dense quark matter (2004, methodology): “Applying standard techniques of thermal field theory [107] it is straightforward to evaluate the quark loop which enters the gap equation or the mesonic polarization diagrams at non-vanishing temperature or chemical potential.”
• Primordial nucleosynthesis: From precision cosmology to fundamental physics (2008, methodology): “To compute these corrections onemay use Real Time formalism for Finite Temperature Field Theory [61] to evaluate the finite temperature contribution of the graphs of Fig.”
• Bottom-up approach to moduli dynamics in heavy gravitino scenario: Superpotential, soft terms, and sparticle mass spectrum (2005, background): “The free energy in supersymmetric SU(Nc) gauge theory [59] is generally given by”
• Higher order fluctuations and correlations of conserved charges from lattice QCD (2018, background): “At very high temperatures, on the other hand, 〈B〉 is a polynomial of μB since the diagrams contributing to its ∼ μ 5 B and higher order components are suppressed by asymptotic freedom [31, 32].”
• The quark-gluon plasma: collective dynamics and hard thermal loops (2001, background): “In this report, we shall not consider this transition region, but focus rather on the high temperature phase, exploiting the fact that at sufficiently high temperature the effective gauge coupling constant becomes small enough to allow for weak coupling calculations [12] [13] [14] [15].”
• Fluctuations and correlations in high temperature QCD (2015, background): “For an ideal gas, the pressure at finite chemical potential reads [68,69]”
• Heavy quarkonia in quark-gluon plasma (2004, neutral): “In perturbative QCD, there is a relation between the screening mass μ, coupling constant g = √ 4παs, and temperature T in a quark-gluon plasma given by [73, 74, 75, 76, 77] μ(2) = g(2)T (2)(Nc +Nf/2)/3.”
• Phase diagram of neutral quark matter: Self-consistent treatment of quark masses (2005, background): “(5) can then be done analytically by employing the relation [22]”
• Standard Model—axion—seesaw—Higgs portal inflation. Five problems of particle physics and cosmology solved in one stroke (2016, methodology): “In our calculations we improve on the previous expressions by resumming zero-temperature effects for the scalars [221,222], and by performing a Daisy resummation in the finite-temperature potential [223, 224].”
• Nuclear reaction network for primordial nucleosynthesis: a detailed analysis of rates, uncertainties and light nuclei yields (2004, background): “45 Journal of Cosmology and Astroparticle Physics 12 (2004) 010 (stacks.iop.org/JCAP/2004/i=12/a=010) 2 JC A P 12(2004)010”