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APPLICATION OF THE RENORMALIZATION GROUP TO A SECOND-ORDER QCD PHASE TRANSITION
Abstract
An earlier suggestion that the chiral phase transition in QCD for two flavors of massless quarks might be a second-order transition has gained credibility as a result of recent numerical simulations. One can test this hypothesis, and draw very specific quantitative consequences from it, using universality and renormalization group ideas. This hypothetical second order phase transition is in the universality class of a four component isotropic Heisenberg antiferromagnet—a model which has been investigated intensely by condensed matter physicists. Existing calculations can be adapted to yield predictions for critical exponents governing the QCD transition. The perturbation due to small equal quark masses maps onto an external staggered magnetic field; that due to unequal quark masses is effective only in second order and generates a quadratic anisotropy. Several other potential applications of the renormalization group to related questions are suggested, including a model of the tricritical point which arises with finite strange quark mass, and a model for the dynamic critical behavior.
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Citations
Cited by
QCD phenomenology based on a chiral effective Lagrangian
Hatsuda, T., & Kunihiro, T. (1994) · Physics Reports · doi:10.1016/0370-1573(94)90022-1 · Cited by 1,623
Non-perturbative renormalization flow in quantum field theory and statistical physics
Berges, J., Tetradis, N., & Wetterich, C. (2002) · Physics Reports · doi:10.1016/s0370-1573(01)00098-9 · Cited by 1,548
Griest, K., & Kamionkowski, M. (2000) · Physics Reports · doi:10.1016/s0370-1573(00)00021-1 · Cited by 1,076
The phase diagram of dense QCD
Fukushima, K., & Hatsuda, T. (2011) · Reports on Progress in Physics · doi:10.1088/0034-4885/74/1/014001 · Cited by 961
Lattice determination of the critical point of QCD at finite T and μ
Fodor, Z., & Katz, S. D. (2002) · Journal of High Energy Physics · doi:10.1088/1126-6708/2002/03/014 · Cited by 677
Metadata
- Authors
- WILCZEK, F.
- Venue
- International Journal of Modern Physics A
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 1992-06-30
- Volume
- 07
- Issue
- 16
- Pages
- 3911-3925
- ISSN
- 0217-751X (ISSN-L)
- 1793-656X
- OpenAlex
- W1976635941
- Cited by
- 219
- References
- 0
- FWCI
- 9.74
- Type
- journal article
- Language
- en
- Open access
- closed
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- WILCZEK, F. (1992). APPLICATION OF THE RENORMALIZATION GROUP TO A SECOND-ORDER QCD PHASE TRANSITION. International Journal of Modern Physics A. https://doi.org/10.1142/s0217751x92001757
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.