Deconfinement and Chiral Symmetry Restoration in a Strong Magnetic Background

We perform a model study of deconfinement and chiral symmetry restoration in a strong magnetic background. We use a Nambu-Jona Lasinio model with the Polyakov loop, taking into account a possible dependence of the coupling on the Polyakov loop expectation value, as suggested by the recent literature. Our main result is that, within this model, the deconfinement and chiral crossovers of QCD in strong magnetic field are entangled even at the largest value of

eB

considered here, namely

eB=30 m_\pi^2

(that is,

B \approx 6\times 10^{15}

Tesla). The amount of split that we measure is, at this value of

eB

, of the order of 2%. We also study briefly the role of the 8-quark term on the entanglement of the two crossovers. We then compare the phase diagram of this model with previous results, as well as with available Lattice data.

Note:

12 pages, 6 figures, RevTeX 4-1 style. Some reference added. Some typos corrected. To appear on Physical Review D

12.38.Aw
12.38.Mh
Hot quark matter
Effective models of QCD
Deconfinement and chiral symmetry restoration in magnetic fields
symmetry: chiral
magnetic field: background field: high
critical phenomena: deconfinement
Polyakov loop
vertex

References(118)

Figures(11)

The Chiral critical line of N(f) = 2+1 QCD at zero and non-zero baryon density

Philippe de Forcrand
(
- Zurich, ETH and
- CERN
)
,
Owe Philipsen
(
- Munster U., ITP
)

- JHEP 01 (2007) 077
•
e-Print:
- hep-lat/0607017
•
DOI:
- 10.1088/1126-6708/2007/01/077

The Chiral critical point of N(f) = 3 QCD at finite density to the order (mu/T)**4

Philippe de Forcrand
(
- Zurich, ETH and
- CERN
)
,
Owe Philipsen
(
- Munster U., ITP
)

- JHEP 11 (2008) 012
•
e-Print:
- 0808.1096
•
DOI:
- 10.1088/1126-6708/2008/11/012

The curvature of the critical surface (m(u,d),m(s))**crit(mu): A Progress report

Philippe de Forcrand
(
- Zurich, ETH and
- CERN
)
,
Owe Philipsen
(
- Munster U., ITP
)

- PoS LATTICE2008 (2008) 208
•
e-Print:
- 0811.3858
•
DOI:
- 10.22323/1.066.0208

The QCD transition temperature: results with physical masses in the continuum limit II.

Y. Aoki
(
- RIKEN BNL and
- Brookhaven
)
,
Szabolcs Borsanyi
(
- Wuppertal U.
)
,
Stephan Durr
(
- Julich, Forschungszentrum and
- NIC, Zeuthen and
- DESY, Zeuthen
)
,
Zoltan Fodor
(
- NIC, Zeuthen and
- DESY, Zeuthen and
- Wuppertal U. and
- Julich, Forschungszentrum and
- Eotvos U.
)
,
Sandor D. Katz
(
- Wuppertal U. and
- Eotvos U.
)

et al.

- JHEP 06 (2009) 088
•
e-Print:
- 0903.4155
•
DOI:
- 10.1088/1126-6708/2009/06/088

The QCD equation of state with dynamical quarks

Szabolcs Borsanyi
(
- Wuppertal U.
)
,
Gergely Endrodi
(
- Eotvos U.
)
,
Zoltan Fodor
(
- Wuppertal U. and
- Eotvos U.
)
,
Antal Jakovac
(
- Wuppertal U.
)
,
Sandor D. Katz
(
- Eotvos U.
)

et al.

- JHEP 11 (2010) 077
•
e-Print:
- 1007.2580
•
DOI:
- 10.1007/JHEP11(2010)077

Equation of state and QCD transition at finite temperature

et al.

- Phys.Rev.D 80 (2009) 014504
•
e-Print:
- 0903.4379
•
DOI:
- 10.1103/PhysRevD.80.014504

The finite temperature QCD using 2 + 1 flavors of domain wall fermions at N (t) = 8

et al.

- Phys.Rev.D 81 (2010) 054510
•
e-Print:
- 0911.3450
•
DOI:
- 10.1103/PhysRevD.81.054510

Quark mass and flavor dependence of the QCD phase transition

- Nucl.Phys.B 605 (2001) 579-599
•
e-Print:
- hep-lat/0012023
•
DOI:
- 10.1016/S0550-3213(01)00200-0

Lattice QCD at high temperature and density

F. Karsch
(
- Bielefeld U.
)

- Lect.Notes Phys. 583 (2002) 209-249
•
e-Print:
- hep-lat/0106019
•
DOI:
- 10.1007/3-540-45792-5_6

Static quark anti-quark interactions in zero and finite temperature QCD. I. Heavy quark free energies, running coupling and quarkonium binding

Olaf Kaczmarek
(
- Bielefeld U.
)
,
Felix Zantow
(
- Brookhaven
)

- Phys.Rev.D 71 (2005) 114510
•
e-Print:
- hep-lat/0503017
•
DOI:
- 10.1103/PhysRevD.71.114510

Deconfinement phase transition and the quark condensate

Christian S. Fischer
(
- Darmstadt, Tech. Hochsch. and
- Darmstadt, GSI
)

- Phys.Rev.Lett. 103 (2009) 052003
•
e-Print:
- 0904.2700
•
DOI:
- 10.1103/PhysRevLett.103.052003

Chiral and deconfinement transition from Dyson-Schwinger equations

- Phys.Rev.D 80 (2009) 074029
•
e-Print:
- 0908.0007
•
DOI:
- 10.1103/PhysRevD.80.074029

Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)

Christian S. Fischer
(
- Darmstadt, Tech. U. and
- Darmstadt, GSI
)
,
Axel Maas
(
- Graz U.
)
,
Jens A. Muller
(
- Darmstadt, Tech. U.
)

- Eur.Phys.J.C 68 (2010) 165-181
•
e-Print:
- 1003.1960
•
DOI:
- 10.1140/epjc/s10052-010-1343-1

Chiral symmetry breaking with lattice propagators

A.C. Aguilar
(
- ABC Federal U.
)
,
J. Papavassiliou
(
- Valencia U., IFIC
)

- Phys.Rev.D 83 (2011) 014013
•
e-Print:
- 1010.5815
•
DOI:
- 10.1103/PhysRevD.83.014013

Exact evolution equation for the effective potential

Christof Wetterich
(
- Heidelberg U.
)

- Phys.Lett.B 301 (1993) 90-94
•
e-Print:
- 1710.05815
•
DOI:
- 10.1016/0370-2693(93)90726-X

Variational solution of the Yang-Mills Schrodinger equation in Coulomb gauge

C. Feuchter
(
- Tubingen U.
)
,
H. Reinhardt
(
- Tubingen U.
)

- Phys.Rev.D 70 (2004) 105021
•
e-Print:
- hep-th/0408236
•
DOI:
- 10.1103/PhysRevD.70.105021

On the Yang-Mills wave functional in Coulomb gauge

H. Reinhardt
(
- Tubingen U.
)
,
C. Feuchter
(
- Tubingen U.
)

- Phys.Rev.D 71 (2005) 105002
•
e-Print:
- hep-th/0408237
•
DOI:
- 10.1103/PhysRevD.71.105002

Hamiltonian Flow in Coulomb Gauge Yang-Mills Theory

Markus Leder
(
- Tubingen U.
)
,
Jan M. Pawlowski
(
- Heidelberg U. and
- Darmstadt, EMMI and
- Darmstadt, GSI
)
,
Hugo Reinhardt
(
- Tubingen U.
)
,
Axel Weber
(
- IFM-UMSNH, Michoacan
)

- Phys.Rev.D 83 (2011) 025010
•
e-Print:
- 1006.5710
•
DOI:
- 10.1103/PhysRevD.83.025010

The QCD Phase Boundary from Quark-Gluon Dynamics

Jens Braun
(
- TRIUMF
)

- Eur.Phys.J.C 64 (2009) 459-482
•
e-Print:
- 0810.1727
•
DOI:
- 10.1140/epjc/s10052-009-1136-6

Phase Structure of Two-Flavor QCD at Finite Chemical Potential

Jens Braun
(
- Jena U., TPI
)
,
Lisa M. Haas
(
- Heidelberg U. and
- Darmstadt, EMMI and
- Darmstadt, GSI
)
,
Florian Marhauser
(
- Darmstadt, EMMI and
- Darmstadt, GSI and
- Heidelberg U.
)
,
Jan M. Pawlowski
(
- Heidelberg U. and
- Darmstadt, EMMI and
- Darmstadt, GSI
)

- Phys.Rev.Lett. 106 (2011) 022002
•
e-Print:
- 0908.0008
•
DOI:
- 10.1103/PhysRevLett.106.022002

Infrared Gluon and Ghost Propagators

Marco Frasca
(
- unlisted, IT
)

- Phys.Lett.B 670 (2008) 73-77
•
e-Print:
- 0709.2042
•
DOI:
- 10.1016/j.physletb.2008.10.022

Mapping a Massless Scalar Field Theory on a Yang-Mills Theory: Classical Case

Marco Frasca
(
- Rome U.
)

- Mod.Phys.Lett.A 24 (2009) 2425-2432
•
e-Print:
- 0903.2357
•
DOI:
- 10.1142/S021773230903165X

Glueball spectrum and hadronic processes in low-energy QCD

Marco Frasca
(
- Rome U.
)

- Nucl.Phys.B Proc.Suppl. 207-208 (2010) 196-199
•
e-Print:
- 1007.4479
•
DOI:
- 10.1016/j.nuclphysbps.2010.10.051

Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. 1.

Yoichiro Nambu
(
- Chicago U., EFI
)
,
G. Jona-Lasinio
(
- Chicago U., EFI
)

- Phys.Rev. 122 (1961) 345-358,
- Also in *Lai, C. H. (Ed.): Gauge Theory Of Weak and Electromagnetic Interactions*, 104-117,
•
DOI:
- 10.1103/PhysRev.122.345

Dynamical model of elementary particles based on an analogy with superconductivity. II.

Yoichiro Nambu
(
- Chicago U., EFI
)
,
G. Jona-Lasinio
(
- Chicago U., EFI
)

- Phys.Rev. 124 (1961) 246-254,
•
DOI:
- 10.1103/PhysRev.124.246

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