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Optimized perturbation theory at finite temperature
Open accessAbstract
An optimized perturbation theory (OPT) at finite temperature $T,$ which resums higher order terms in the naive perturbation, is developed in $O(N) {\ensuremath{\varphi}}^{4}$ theory. It is proved that (i) the renormalization of the ultraviolet divergences can be carried out systematically in any given order of OPT and (ii) the Nambu-Goldstone theorem is satisfied for arbitrary $N$ and for any given order of OPT. The method is applied for the $O(4) \ensuremath{\sigma}$ model to study the soft modes associated with the chiral transition in quantum chromodynamics. Threshold enhancement of the spectral functions at finite $T$ in the scalar and pseudoscalar channels is shown to be a typical signal of the chiral transition.
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Citations
Cites
Remarks on the chiral phase transition in chromodynamics
Pisarski, R. D., & Wilczek, F. (1984) · Physical Review D · doi:10.1103/physrevd.29.338 · Cited by 1,252
Le Bellac, M. (1996) · doi:10.1017/cbo9780511721700 · Cited by 897 · cited 1×
“The retarded self-energy Σφ is related to the 11component of the 2 × 2 self-energy in the real-time formalism [39]; ReΣφ (ω,k;T ) = Re{Σ(11) φ (ω,k) + Σ(11) φ (ω,k;T )} (36) ImΣφ (ω,k;T ) = tanh( ω 2T ) Im{Σ(11) φ (ω,k) + Σ(11) φ (ω,k;T )}.”
Static and dynamic critical phenomena at a second order QCD phase transition
Rajagopal, K., & Wilczek, F. (1993) · Nuclear Physics B · doi:10.1016/0550-3213(93)90502-g · Cited by 550
Cited by
Blaizot, J.-P., Iancu, E., & Rebhan, A. (2001) · Physical Review D · doi:10.1103/physrevd.63.065003 · Cited by 317
Metadata
- Authors
- Chiku, S., & Hatsuda, T.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 1998-08-20
- Volume
- 58
- Issue
- 7
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2098388838
- Cited by
- 167
- References
- 3
- FWCI
- 4.64
- Type
- journal article
- Language
- en
- Open access
- green
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