# The chiral transition and U(1)_A symmetry restoration from lattice QCD using Domain Wall Fermions

Bazavov A, Bhattacharya T, Buchoff MI, Cheng M, Christ NH, Ding H, Gupta R, Hegde P, Jung C, Karsch F, Lin Z, et al. (2012) *Physical Review D* 86(9): 094503.

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Author

Bazavov, A.
;
Bhattacharya, Tanmoy
;
Buchoff, Michael I.
;
Cheng, Michael
;
Christ, N. H.
;
Ding, Hengtong
;
Gupta, Rajan
;
Hegde, Prasad
;
Jung, Chulwoo
;
Karsch, Frithjof

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^{UniBi}; Lin, Zhongjie ; Mawhinney, R. D.All

Abstract

We present results on both the restoration of the spontaneously broken chiralsymmetry and the effective restoration of the anomalously broken U(1)_Asymmetry in finite temperature QCD at zero chemical potential using latticeQCD. We employ domain wall fermions on lattices with fixed temporal extentN_\tau = 8 and spatial extent N_\sigma = 16 in a temperature range of T = 139 -195 MeV, corresponding to lattice spacings of a \approx 0.12 - 0.18 fm. Inthese calculations, we include two degenerate light quarks and a strange quarkat fixed pion mass m_\pi = 200 MeV. The strange quark mass is set near itsphysical value. We also present results from a second set of finite temperaturegauge configurations at the same volume and temporal extent with slightlyheavier pion mass. To study chiral symmetry restoration, we calculate thechiral condensate, the disconnected chiral susceptibility, and susceptibilitiesin several meson channels of different quantum numbers. To study U(1)_Arestoration, we calculate spatial correlators in the scalar and pseudo-scalarchannels, as well as the corresponding susceptibilities. Furthermore, we alsoshow results for the eigenvalue spectrum of the Dirac operator as a function oftemperature, which can be connected to both U(1)_A and chiral symmetryrestoration via Banks-Casher relations.

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Bazavov A, Bhattacharya T, Buchoff MI, et al. The chiral transition and U(1)_A symmetry restoration from lattice QCD using Domain Wall Fermions.

*Physical Review D*. 2012;86(9):094503.Bazavov, A., Bhattacharya, T., Buchoff, M. I., Cheng, M., Christ, N. H., Ding, H., Gupta, R., et al. (2012). The chiral transition and U(1)_A symmetry restoration from lattice QCD using Domain Wall Fermions.

*Physical Review D*,*86*(9), 094503. doi:10.1103/PhysRevD.86.094503Bazavov, A., Bhattacharya, T., Buchoff, M. I., Cheng, M., Christ, N. H., Ding, H., Gupta, R., Hegde, P., Jung, C., Karsch, F., et al. (2012). The chiral transition and U(1)_A symmetry restoration from lattice QCD using Domain Wall Fermions.

*Physical Review D*86, 094503.Bazavov, A., et al., 2012. The chiral transition and U(1)_A symmetry restoration from lattice QCD using Domain Wall Fermions.

*Physical Review D*, 86(9), p 094503. A. Bazavov, et al., “The chiral transition and U(1)_A symmetry restoration from lattice QCD using Domain Wall Fermions”,

*Physical Review D*, vol. 86, 2012, pp. 094503. Bazavov, A., Bhattacharya, T., Buchoff, M.I., Cheng, M., Christ, N.H., Ding, H., Gupta, R., Hegde, P., Jung, C., Karsch, F., Lin, Z., Mawhinney, R.D., Mukherjee, S., Petreczky, P., Soltz, R.A., Vranas, P.M., Yin, H.: The chiral transition and U(1)_A symmetry restoration from lattice QCD using Domain Wall Fermions. Physical Review D. 86, 094503 (2012).

Bazavov, A., Bhattacharya, Tanmoy, Buchoff, Michael I., Cheng, Michael, Christ, N. H., Ding, Hengtong, Gupta, Rajan, Hegde, Prasad, Jung, Chulwoo, Karsch, Frithjof, Lin, Zhongjie, Mawhinney, R. D., Mukherjee, Swagato, Petreczky, P., Soltz, R. A., Vranas, P. M., and Yin, Hantao. “The chiral transition and U(1)_A symmetry restoration from lattice QCD using Domain Wall Fermions”.

*Physical Review D*86.9 (2012): 094503.
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