Chiral and U_A(1) symmetry in correlation functions in medium

Abstract

In this review, we will discuss how the chiral symmetry and U_A(1) breaking effects are reflected in the correlation functions. Using the Banks-Casher formula, one can identify the density of zero eigenvalues to be the common ingredient that governs the chiral symmetry breaking in correlation functions between currents composed of light quarks with or without a heavy quark. Similarly the presence of the U_A(1) breaking effect is determined through the contribution of the topologically non trivial configurations that depends on the number of flavors. We also discuss how the symmetry breaking effects are reflected in the gluon correlation functions. Finally, we review the Witten Veneziano formula for the eta' mass in medium.

22 pages, short review to be published in IJMPE

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Cited by in corpus (8)

• In medium eta' mass and eta' N interaction based on chiral effective theory
• Updated study of the $\eta$-${\eta }^{\prime }$ mixing and the thermal properties of light pseudoscalar mesons at low temperatures
• The mass of heavy-light mesons in a constituent quark picture with partially restored chiral symmetry
• A novel probe of chiral restoration in nuclear medium
• A $U_A(1)$ symmetry restoration scenario supported by the generalized Witten-Veneziano relation and its analytic solution
• Near-threshold $K^{\ast }(892{)}^{+}$ meson production in the interaction of ${\pi }^{-}$ mesons with nuclei
• Theory on Hadrons in Nuclear Medium
• Analysis of the $b_1$ meson decay in local tensor bilinear representation