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Exact tricritical point from next-to-leading-order stability analysis

Michael Thies
(
- Erlangen - Nuremberg U.
)

Mar 16, 2022

16 pages

Published in:

Phys.Rev.D 105 (2022) 11, 116003

Published: Jun 1, 2022

e-Print:

2203.08503 [hep-th]

DOI:

10.1103/PhysRevD.105.116003 (publication)

View in:

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Abstract: (APS)

In the massive chiral Gross-Neveu model, a phase boundary separates a homogeneous from an inhomogeneous phase. It consists of two parts, a second order line and a first order line, joined at a tricritical point. Whereas the first order phase boundary requires a full, numerical Hartree-Fock calculation, the second order phase boundary can be determined exactly and with less effort by a perturbative stability analysis. We extend this stability analysis to higher order perturbation theory. This enables us to locate the tricritical point exactly, without need to perform a Hartree-Fock calculation. Divergencies due to the emergence of spectral gaps in a spatially periodic perturbation are handled using well established tools from many body theory.

Note:

16 pages, 11 figures; v2: typo's corrected; v3: minor improvements

higher-order: 1
Gross-Neveu model: chiral
gap: spectral
perturbation theory: higher-order
stability
perturbation
many-body problem

References(28)

Figures(11)

[1]

Dynamical Symmetry Breaking in Asymptotically Free Field Theories

- Phys.Rev.D 10 (1974) 3235
•
DOI:
- 10.1103/PhysRevD.10.3235

[2]

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

[3]

A Planar Diagram Theory for Strong Interactions

Gerard 't Hooft
(
- CERN
)

- Nucl.Phys.B 72 (1974) 461,
•
DOI:
- 10.1016/0550-3213(74)90154-0

[4]

New baryon matter in the lattice Gross-Neveu model

Philippe de Forcrand
(
- CERN and
- Zurich, ETH
)
,
Urs Wenger
(
- Zurich, ETH
)

- PoS LAT2006 (2006) 152
•
e-Print:
- hep-lat/0610117
•
DOI:
- 10.22323/1.032.0152

[5]

Fermions in the pseudoparticle approach

Marc Wagner
(
- Erlangen - Nuremberg U., Theorie III
)

- Phys.Rev.D 76 (2007) 076002
•
e-Print:
- 0704.3023
•
DOI:
- 10.1103/PhysRevD.76.076002

[6]

Quarkyonic Chiral Spirals

Toru Kojo
(
- RIKEN BNL
)
,
Yoshimasa Hidaka
(
- Kyoto U.
)
,
Larry McLerran
(
- RIKEN BNL and
- Brookhaven
)
,
Robert D. Pisarski
(
- Brookhaven
)

- Nucl.Phys.A 843 (2010) 37-58
•
e-Print:
- 0912.3800
•
DOI:
- 10.1016/j.nuclphysa.2010.05.053

[7]

Covering the Fermi Surface with Patches of Quarkyonic Chiral Spirals

- Phys.Rev.D 82 (2010) 074015
•
e-Print:
- 1007.0248
•
DOI:
- 10.1103/PhysRevD.82.074015

[8]

Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model

Dominik Nickel
(
- MIT, LNS
)

- Phys.Rev.D 80 (2009) 074025
•
e-Print:
- 0906.5295
•
DOI:
- 10.1103/PhysRevD.80.074025

[9]

Inhomogeneous chiral condensates

- Prog.Part.Nucl.Phys. 81 (2015) 39-96
•
e-Print:
- 1406.1367
•
DOI:
- 10.1016/j.ppnp.2014.11.001

[10]

Crystalline ground states in Polyakov-loop extended Nambu–Jona-Lasinio models

Jens Braun
(
- Darmstadt, Tech. U. and
- Darmstadt, EMMI
)
,
Felix Karbstein
(
- Helmholtz Inst., Jena and
- Jena U., TPI
)
,
Stefan Rechenberger
(
- Darmstadt, Tech. U.
)
,
Dietrich Roscher
(
- Darmstadt, Tech. U.
)

- Phys.Rev.D 93 (2016) 1, 014032
•
e-Print:
- 1510.04012
•
DOI:
- 10.1103/PhysRevD.93.014032

[11]

Inhomogeneous phases in the Gross-Neveu model in 1+1 dimensions at finite number of flavors

Julian Lenz
(
- Jena U., TPI
)
,
Laurin Pannullo
(
- Frankfurt U.
)
,
Marc Wagner
(
- Frankfurt U.
)
,
Björn Wellegehausen
(
- Jena U., TPI
)
,
Andreas Wipf
(
- Jena U., TPI
)

- Phys.Rev.D 101 (2020) 9, 094512
•
e-Print:
- 2004.00295
•
DOI:
- 10.1103/PhysRevD.101.094512

[12]

Baryons in the Gross-Neveu model in 1+1 dimensions at finite number of flavors

Julian J. Lenz
(
- Jena U., TPI
)
,
Laurin Pannullo
(
- Frankfurt U.
)
,
Marc Wagner
(
- Helmholtz Res. Acad. Hesse for FAIR and
- Frankfurt U.
)
,
Björn H. Wellegehausen
(
- Jena U., TPI
)
,
Andreas Wipf
(
- Jena U., TPI
)

- Phys.Rev.D 102 (2020) 11, 114501
•
e-Print:
- 2007.08382
•
DOI:
- 10.1103/PhysRevD.102.114501

[13]

K. Horie
,
C. Nonaka

- Proc. Sci. 2021 LAT2021, 150

[14]

Inhomogeneities in the two-flavor chiral Gross-Neveu model

- Phys.Rev.D 105 (2022) 3, 034512
•
e-Print:
- 2109.05525
•
DOI:
- 10.1103/PhysRevD.105.034512

[15]

Full phase diagram of the massive Gross-Neveu model

- Annals Phys. 321 (2006) 2604-2637
•
e-Print:
- hep-th/0511206
•
DOI:
- 10.1016/j.aop.2005.12.007

[16]

edited by (, Singapore, ), Vol. , Chap. 33, p.

M. Shifman
,
V. Schön
,
M. Thies

[17]

Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL(2) model

- Phys.Rev.D 79 (2009) 105012
•
e-Print:
- 0903.1868
•
DOI:
- 10.1103/PhysRevD.79.105012

[18]

Phase structure of the massive chiral Gross-Neveu model from Hartree-Fock

- Phys.Rev.D 78 (2008) 065043
•
e-Print:
- 0807.2571
•
DOI:
- 10.1103/PhysRevD.78.065043

[19]

Search for inhomogeneous phases in fermionic models

Jens Braun
(
- Darmstadt, EMMI and
- Darmstadt, Tech. U.
)
,
Stefan Finkbeiner
(
- Darmstadt, Tech. U.
)
,
Felix Karbstein
(
- Helmholtz Inst., Jena and
- Jena U., TPI
)
,
Dietrich Roscher
(
- Darmstadt, Tech. U. and
- Jena U., TPI
)

- Phys.Rev.D 91 (2015) 11, 116006
•
e-Print:
- 1410.8181
•
DOI:
- 10.1103/PhysRevD.91.116006

[20]

Detecting inhomogeneous chiral condensation from the bosonic two-point function in the (1 + 1)-dimensional Gross–Neveu model in the mean-field approximation*

Adrian Koenigstein
(
- Frankfurt U.
)
,
Laurin Pannullo
(
- Frankfurt U.
)
,
Stefan Rechenberger
(
- Frankfurt U.
)
,
Martin J. Steil
(
- Darmstadt, Tech. Hochsch.
)
,
Marc Winstel
(
- Frankfurt U.
)

- J.Phys.A 55 (2022) 37, 375402
•
e-Print:
- 2112.07024
•
DOI:
- 10.1088/1751-8121/ac820a

[21]

Lecture Notes and Supplements in Physics (, Reading, Massachusetts, ), Chap. 11

Gordon Baym

[22]

Inhomogeneous condensation in effective models for QCD using the finite-mode approach

Achim Heinz
(
- Frankfurt U.
)
,
Francesco Giacosa
(
- Frankfurt U. and
- Jan Kochanowski U.
)
,
Marc Wagner
(
- Frankfurt U.
)
,
Dirk H. Rischke
(
- Frankfurt U.
)

- Phys.Rev.D 93 (2016) 1, 014007
•
e-Print:
- 1508.06057
•
DOI:
- 10.1103/PhysRevD.93.014007

[23]

Phase structure of the ( 1+1 )-dimensional Nambu–Jona-Lasinio model with isospin

Michael Thies
(
- Erlangen - Nuremberg U.
)

- Phys.Rev.D 101 (2020) 1, 014010
•
e-Print:
- 1911.11439
•
DOI:
- 10.1103/PhysRevD.101.014010

[24]

First-order phase boundaries of the massive ( 1+1 )-dimensional Nambu–Jona-Lasinio model with isospin

Michael Thies
(
- Erlangen - Nuremberg U.
)

- Phys.Rev.D 101 (2020) 7, 074013
•
e-Print:
- 2002.01190
•
DOI:
- 10.1103/PhysRevD.101.074013

[25]

Tricritical behavior of the massive chiral Gross-Neveu model

- Phys.Rev.D 75 (2007) 105017
•
e-Print:
- hep-th/0702201
•
DOI:
- 10.1103/PhysRevD.75.105017

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