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Enhanced global symmetries and the chiral phase transition

Thomas Appelquist*, P. S. Rodrigues da Silva†, and Francesco Sannino‡

  • Department of Physics, Yale University, New Haven, Connecticut 06520-8120

  • *Electronic address: thomas.appelquist@yale.edu
  • †Electronic address: psr7@pantheon.yale.edu
  • ‡Electronic address: francesco.sannino@yale.edu
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Phys. Rev. D 60, 116007 – Published 12 November, 1999

DOI: https://doi.org/10.1103/PhysRevD.60.116007

Abstract

We examine the possibility that the physical spectrum of a vectorlike gauge field theory exhibits an enhanced global symmetry near a chiral phase transition. A transition from the Goldstone phase to the symmetric phase is expected as the number of fermions Nf is increased to some critical value. Various investigations have suggested that a parity-doubled spectrum develops as the critical value is approached. Using an effective Lagrangian as a guide, we note that parity doubling is associated with the appearance of an enhanced global symmetry in the spectrum of the theory. The enhanced symmetry would develop as the spectrum splits into two sectors, with the first exhibiting the usual pattern of a spontaneously broken chiral symmetry, and the second exhibiting an additional, unbroken symmetry and parity doubling. The first sector includes the Goldstone bosons and other states such as massive scalar partners. The second includes a parity-degenerate vector and axial vector along with other possible parity partners. We note that if such a near-critical theory describes symmetry breaking in the electroweak theory, the additional symmetry suppresses the contribution of the parity-doubled sector to the S parameter.

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Phys. Rev. D 60, 116007– Published 12 November, 1999
  • Received 1 July 1999

© 1999 American Physical Society

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