Curvature of the chiral phase transition line from the magnetic equation of state of (<math display="inline"><mrow><mn>2</mn><mo>+</mo><mn>1</mn></mrow></math>)-flavor QCD - INSPIRE

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Curvature of the chiral phase transition line from the magnetic equation of state of ( $2 + 1$ )-flavor QCD

H.-T. Ding
(
- Hua-Zhong Normal U., LQLP and
- CCNU, Wuhan, Inst. Part. Phys.
)
,
O. Kaczmarek
(
- Bielefeld U.
)
,
F. Karsch
(
- Bielefeld U.
)
,
P. Petreczky
(
- Brookhaven
)
,
Mugdha Sarkar
(
- Taiwan, Natl. Taiwan U.
)

Mar 14, 2024

20 pages

Published in:

Phys.Rev.D 109 (2024) 11, 114516

Published: Jun 1, 2024

e-Print:

2403.09390 [hep-lat]

DOI:

10.1103/PhysRevD.109.114516 (publication)

View in:

ADS Abstract Service

reference search14 citations

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Abstract: (APS)

We analyze the dependence of the chiral phase transition temperature on baryon number and strangeness chemical potentials by calculating the leading order curvature coefficients in the light and strange quark flavor basis as well as in the conserved charge (

B

,

S

) basis. Making use of scaling properties of the magnetic equation of state (MEoS) and including diagonal as well as off-diagonal contributions in the expansion of the energylike scaling variable that enters the parametrization of the MEoS, allows to explore the variation of

T_{c} (μ_{B}, μ_{S}) = T_{c} (1 - (κ_{2}^{B} {\hat{μ}}_{B}^{2} + κ_{2}^{S} {\hat{μ}}_{S}^{2} + 2 κ_{11}^{B S} {\hat{μ}}_{B} {\hat{μ}}_{S}))

along different lines in the

(μ_{B}, μ_{S})

plane. On lattices with fixed cutoff in units of temperature,

a T = 1 / 8

, we find

κ_{2}^{B} = 0.015 (1)

,

κ_{2}^{S} = 0.0124 (5)

and

κ_{11}^{B S} = - 0.0050 (7)

. We show that the chemical potential dependence along the line of vanishing strangeness chemical potential is about 10% larger than along the strangeness neutral line. The latter differs only by about 3% from the curvature on a line of vanishing strange quark chemical potential,

μ_{s} = 0

. We also show that close to the chiral limit the strange quark mass contributes like an energylike variable in scaling relations for pseudocritical temperatures. The chiral phase transition temperature decreases with decreasing strange quark mass,

T_{c} (m_{s}) = T_{c} (m_{s}^{phy}) (1 - 0.097 (2) (m_{s} - m_{s}^{phys}) / m_{s}^{phy} + O ((Δ m_{s})^{2})

.

Note:

19 pages, 11 figures, updated to published version

potential: chemical
critical phenomena: chiral
equation of state: magnetic
critical phenomena: temperature
quark: mass
curvature: chiral
quark: flavor
potential: dependence
higher-order: 0
charge: conservation law

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