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Thermal Field Theory
Abstract
Now in paperback, this text introduces the theoretical framework for describing the quark-gluon plasma, an important new state of matter. The first part of this book is a self-contained introduction to relativistic thermal field theory. Topics include the path integral approach, the real and the imaginary time formalisms, fermion fields and gauge fields at finite temperature. Useful techniques such as the evaluation of frequency sums or the use of cutting rules are illustrated on various examples. The second part of the book is devoted to recent developments, giving a detailed account of collective excitations (bosonic and fermionic), and showing how they give rise to energy scales which imply a reorganization of perturbation theory. The relation with kinetic theory is also explained. Applications to processes which occur in heavy ion collisions and in astrophysics are worked out in detail. Each chapter ends with exercises and a guide to the literature.
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“A summary of the results of these efforts mainly through the Pb + Pb experiments at SPS-CERN provided compelling evidence in favor of the existence of a new state of matter[23].”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [23]
In the citing paper
“The excess of dileptons in the small invariant mass region cannot be explained by charged pion annihilation [23].”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [23]
In the citing paper
“We summarize the observables that have been proposed as telltales of a QGP and the data gathered by the SPS from Pb + Pb and Pb + Au collisions, which taken together provide a hint of evidence [22, 23, 120, 129] for a QGP, although many of them could have alternative explanations.”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [23]
In the citing paper
“The current understanding of these features is that the medium effects result in a shift in the ρ meson mass as well as a change in its width[23, 120, 135].”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [23]
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“[20] M.”
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“i.e, with m2(t) = 0. Another object of interest for our purposes is the Lehman spectral function ρ(x,y) = G>(x,y)−G<(x,y)[16], which inequilibrium toleadingorder is ρeq 0(q) = −2πisgn(q )δ(q2) [19]. Note that, by construction, G>(x,y) = G<(y,x), so that ρ(x,y) = −ρ(y,x) and ρ(q0,ωq,τ) = −ρ(−q0,ωq,τ). The n…”
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“Since the source functions φv and φk are functions of k and ω = k cos θ, we can expand these functions in Fourier series φv(k, cos θ) ≡ φv;0(k) + 2φv;1(k) cos θ + 2φv;2(k) cos 2θ + . . . . (C1) πTφk(k, cos θ) ≡ φk;0(k) + 2φk;1(k) cos θ + 2φk;2(k) cos 2θ + . . . . (C2) In Fig.”
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- Le Bellac, M.
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- Cambridge University Press eBooks
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- Cambridge University Press
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- 1996-08-01
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- Type
- book
- Language
- en
- Open access
- closed
- Locations
- Cambridge University Press eBooks (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › High-Energy Particle Collisions Research
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Quantum Chromodynamics and Particle Interactions
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Keywords
- thermal field theory, quark-gluon plasma, path integral, imaginary time formalism, real-time formalism, fermion fields, gauge fields, cutting rules, collective excitations, kinetic theory, heavy-ion collisions, astrophysical plasmas
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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