Critical behavior in the dense planar NJL model

We present results of a Monte Carlo simulation of a 2+1 dimensional Nambu - Jona-Lasinio model including diquark source terms. A diquark condensate is measured as a function of source strength j. In the vacuum phase vanishes linearly with j as expected, but simulations in a region with non-zero baryon density suggest a power-law scaling and hence a critical system for all mu > mu_c. There is no diquark condensation signalling superfluidity. Comparisons are drawn with known results in two dimensional theories, and with the pseudogap phase in cuprate superconductors. We also measure the dispersion relation E(k) for fermionic excitations, and find results consistent with a sharp Fermi surface. Any superfluid gap Delta is constrained to be much less than the constituent quark mass scale Sigma_0.

Jona-Lasinio-Nambu model: planar
critical phenomena
dimension: 3
diquark: condensation
superfluid: gap
dispersion relation
fermion: excited state
Ward identity
coherence: long-range
numerical calculations: Monte Carlo

References(21)

Figures(0)

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

QCD at finite baryon density: Nucleon droplets and color superconductivity

- Phys.Lett.B 422 (1998) 247-256
•
e-Print:
- hep-ph/9711395
•
DOI:
- 10.1016/S0370-2693(98)00051-3

Color flavor locking and chiral symmetry breaking in high density QCD

- Nucl.Phys.B 537 (1999) 443-458
•
e-Print:
- hep-ph/9804403
•
DOI:
- 10.1016/S0550-3213(98)00668-3

Color superconductivity and chiral symmetry restoration at nonzero baryon density and temperature

Juergen Berges
(
- MIT, LNS and
- MIT
)
,
Krishna Rajagopal
(
- MIT, LNS and
- MIT
)

- Nucl.Phys.B 538 (1999) 215-232
•
e-Print:
- hep-ph/9804233
•
DOI:
- 10.1016/S0550-3213(98)00620-8

Superfluidity in a model of massless fermions coupled to scalar bosons

Robert D. Pisarski
(
- Brookhaven
)
,
Dirk H. Rischke
(
- RIKEN BNL
)

- Phys.Rev.D 60 (1999) 094013
•
e-Print:
- nucl-th/9903023
•
DOI:
- 10.1103/PhysRevD.60.094013

Diquark condensation and the quark quark interaction

- Phys.Rev.C 60 (1999) 065208
•
e-Print:
- nucl-th/9907086
•
DOI:
- 10.1103/PhysRevC.60.065208

Lattice simulation of diquark condensation in dense matter

UKQCD

Collaboration

•

Simon Hands
(
- Swansea U.
)

et al.

- Phys.Rev.D 59 (1999) 116002
•
e-Print:
- hep-lat/9807033
•
DOI:
- 10.1103/PhysRevD.59.116002

Dynamical symmetry breaking in four Fermi interaction models

B. Rosenstein
(
- British Columbia U.
)
,
Brian Warr
(
- SLAC
)
,
S.H. Park
(
- ICTP, Trieste
)

- Phys.Rept. 205 (1991) 59-108
•
DOI:
- 10.1016/0370-1573(91)90129-A

Four Fermi theories in fewer than four-dimensions

Simon Hands
(
- Glasgow U. and
- CERN
)
,
Aleksandar Kocic
(
- CERN
)
,
John B. Kogut
(
- Illinois U., Urbana
)

- Annals Phys. 224 (1993) 29-89
•
e-Print:
- hep-lat/9208022
•
DOI:
- 10.1006/aphy.1993.1039

Measuring diquark condensation in lattice simulations of dense matter

Simon Hands
(
- Swansea U.
)
,
Susan Morrison
(
- Swansea U.
)

•
e-Print:
- hep-lat/9902011

Implementation of C* boundary conditions in the hybrid Monte Carlo algorithm

Jose Manuel Carmona
(
- Pisa U. and
- INFN, Pisa
)
,
Massimo D'Elia
(
- Pisa U. and
- INFN, Pisa
)
,
Adriano Di Giacomo
(
- Pisa U. and
- INFN, Pisa
)
,
Biagio Lucini
(
- Oxford U.
)

- Int.J.Mod.Phys.C 11 (2000) 637-654
•
e-Print:
- hep-lat/0003002
•
DOI:
- 10.1142/S0129183100000560

The Three-dimensional Thirring model for N(f) = 4 and N(f) = 6

L. Del Debbio
(
- Southampton U.
)
,
S.J. Hands
(
- Swansea U.
)

- Nucl.Phys.B 552 (1999) 339-362
•
e-Print:
- hep-lat/9902014
•
DOI:
- 10.1016/S0550-3213(99)00258-8

Hybrid Molecular Dynamics Algorithms for the Numerical Simulation of Quantum Chromodynamics

- Phys.Rev.D 35 (1987) 2531-2542,
- Phys. Rev. D35 ( 1987) 2531-2542
•
DOI:
- 10.1103/PhysRevD.35.2531

Absence of ferromagnetism or antiferromagnetism in one-dimensional or two-dimensional isotropic Heisenberg models

N.D. Mermin
(
- Cornell U., LNS
)
,
H. Wagner
(
- Cornell U., LNS
)

- Phys.Rev.Lett. 17 (1966) 1133-1136
•
DOI:
- 10.1103/PhysRevLett.17.1133

The Quantum Sine-Gordon Equation as the Massive Thirring Model

Sidney R. Coleman
(
- Harvard U.
)

- Phys.Rev.D 11 (1975) 2088,
•
DOI:
- 10.1103/PhysRevD.11.2088

Destruction of long range order in one-dimensional and two-dimensional systems having a continuous symmetry group. I. Classical systems

V.L. Berezinsky

- Sov.Phys.JETP 32 (1971) 493-500,
- Zh.Eksp.Teor.Fiz. 59 (1971) 907-920

Ordering, metastability and phase transitions in two-dimensional systems

J.M. Kosterlitz
(
- Birmingham U.
)
,
D.J. Thouless
(
- Birmingham U.
)

- J.Phys.C 6 (1973) 1181-1203,
- In *Thouless, D.J.: Topological quantum numbers in nonrelativistic physics* 349-371
•
DOI:
- 10.1088/0022-3719/6/7/010

e-Print:
- cond-mat/9710223

Nonlinear sigma model approach for phase disorder transitions and the pseudogap phase in chiral Gross-Neveu, Nambu-Jona-Lasinio models and strong coupling superconductors

Egor Babaev
(
- Uppsala U.
)

- Int.J.Mod.Phys.A 16 (2001) 1175-1197
•
e-Print:
- hep-th/9909052
•
DOI:
- 10.1142/S0217751X01003007

Chiral Symmetry, the 1/n Expansion, and the SU(N) Thirring Model

Edward Witten
(
- Harvard U.
)

- Nucl.Phys.B 145 (1978) 110-118
•
DOI:
- 10.1016/0550-3213(78)90416-9

Dynamical Symmetry Breaking in Asymptotically Free Field Theories

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