STANDING WAVE GROUND STATE IN HIGH DENSITY, ZERO TEMPERATURE QCD AT LARGE NC

1992 ◽  
Vol 07 (04) ◽  
pp. 659-681 ◽  
Author(s):  
D. V. DERYAGIN ◽  
D. YU. GRIGORIEV ◽  
V. A. RUBAKOV
Keyword(s):  
Symmetry Breaking ◽  
Standing Wave ◽  
Ground State ◽  
Chemical Potential ◽  
Chiral Symmetry Breaking ◽  
Mass Operator ◽  
Ladder Approximation ◽  
Zero Temperature ◽  
Density Zero ◽  
Bilocal Field

Chiral symmetry breaking in QCD at zero temperature and high fermionic density is studied in the limit NC → ∞. We evaluate the effective action in the ladder approximation and integrate out fermions by introducing the bilocal field Σ(x, y), which enters the action as the mass operator for fermions. It is argued that at large fermionic chemical potential the mass operator Σ(x, y) has a small but nonvanishing expectation value. The condensate of the field Σ(x, y) and the fermionic condensate [Formula: see text] are inhomogeneous and anisotropic, so that the ground state has the structure of the standing wave with respect to these order parameters. Unlike possible color superconductivity, this symmetry breaking occurs to the leading order in 1/NC.

scholarly journals CHIRAL SYMMETRY BREAKING AT NONZERO CHEMICAL POTENTIAL

2006 ◽  
Vol 21 (04) ◽  
pp. 859-864 ◽  
Author(s):  
J. C. Osborn ◽  
K. Splittorff ◽  
J. J. M. Verbaarschot
Keyword(s):  
Partition Function ◽  
Symmetry Breaking ◽  
Dirac Operator ◽  
Chiral Symmetry ◽  
Chemical Potential ◽  
Chiral Symmetry Breaking ◽  
Chiral Condensate ◽  
Zero Temperature ◽  
Dirac Spectrum

We consider chiral symmetry breaking at nonzero chemical potential and discuss the relation with the spectrum of the Dirac operator. We solve the so called Silver Blaze Problem that the chiral condensate at zero temperature does not depend on the chemical potential while this is not the case for the Dirac spectrum and the weight of the partition function.

scholarly journals More on complex Sachdev-Ye-Kitaev eternal wormholes

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Pengfei Zhang
Keyword(s):  
Black Hole ◽  
Ground State ◽  
Effective Action ◽  
Chemical Potential ◽  
Specific Charge ◽  
Zero Temperature ◽  
Small Coupling ◽  
Chemical Potentials ◽  
Quench Dynamics ◽  
Two Sides

Abstract In this work, we study a generalization of the coupled Sachdev-Ye-Kitaev (SYK) model with U(1) charge conservations. The model contains two copies of the complex SYK model at different chemical potentials, coupled by a direct hopping term. In the zero-temperature and small coupling limit with small averaged chemical potential, the ground state is an eternal wormhole connecting two sides, with a specific charge Q = 0, which is equivalent to a thermofield double state. We derive the conformal Green’s functions and determine corresponding IR parameters. At higher chemical potential, the system transit into the black hole phase. We further derive the Schwarzian effective action and study its quench dynamics. Finally, we compare numerical results with the analytical predictions.

PHASE STRUCTURE OF QED3 AT FINITE CHEMICAL POTENTIAL AND TEMPERATURE

2007 ◽  
Vol 22 (06) ◽  
pp. 449-456 ◽  
Author(s):  
MIN HE ◽  
HONG-TAO FENG ◽  
WEI-MIN SUN ◽  
HONG-SHI ZONG
Keyword(s):  
Phase Diagram ◽  
Wave Function ◽  
Symmetry Breaking ◽  
Quantum Electrodynamics ◽  
Phase Structure ◽  
Chemical Potential ◽  
Chiral Symmetry Breaking ◽  
Three Dimensional ◽  
Mass Function ◽  
Wave Function Renormalization

We study the dynamical chiral symmetry breaking (DCSB) of three-dimensional quantum electrodynamics (QED3) at finite chemical potential and temperature in the framework of Dyson–Schwinger approach. Based on the rainbow approximation and assumption that the wave-function renormalization factor equals to one, the dynamically generated mass function is derived and then the corresponding phase diagram in the (T, μ) plane is obtained.

scholarly journals SCHWINGER–DYSON EQUATIONS AND CHIRAL SYMMETRY BREAKING IN 2-D INDUCED GRAVITY

1995 ◽  
Vol 10 (06) ◽  
pp. 451-456 ◽  
Author(s):  
E. ELIZALDE ◽  
S. D. ODINTSOV ◽  
A. ROMEO ◽  
YU. I. SHIL'NOV
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Numerical Study ◽  
Chiral Symmetry Breaking ◽  
Ladder Approximation ◽  
Induced Gravity ◽  
Flat Background ◽  
Conformal Gauge

The Schwinger–Dyson equations in the ladder approximation for 2-D induced gravity coupled to fermions on a flat background are obtained in conformal gauge. A numerical study of these equations shows the possibility of chiral symmetry breaking in this theory.

MESONS AND DIQUARKS IN A NJL MODEL AT FINITE TEMPERATURE AND CHEMICAL POTENTIAL

1993 ◽  
Vol 08 (07) ◽  
pp. 1295-1312 ◽  
Author(s):  
D. EBERT ◽  
YU. L. KALINOVSKY ◽  
L. MÜNCHOW ◽  
M.K. VOLKOV
Keyword(s):  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Finite Temperature ◽  
Chemical Potential ◽  
Chiral Symmetry Breaking ◽  
Baryon Number ◽  
Coupling Constants ◽  
Number Density ◽  
Njl Model

An extended NJL model with [Formula: see text] and (qq)-interactions is studied at finite temperature and baryon number density. We investigate the chiral symmetry breaking, its restoration and the behavior of meson and diquark masses, decay and coupling constants as functions of T and µ.

scholarly journals SCHWINGER–DYSON EQUATIONS IN 2-D INDUCED GRAVITY IN COVARIANT GAUGES

1994 ◽  
Vol 09 (29) ◽  
pp. 2681-2689 ◽  
Author(s):  
E. ELIZALDE ◽  
S. D. ODINTSOV ◽  
YU. I. SHIL'NOV
Keyword(s):  
Numerical Analysis ◽  
Quantum Gravity ◽  
Symmetry Breaking ◽  
Cosmological Constant ◽  
Chiral Symmetry ◽  
Chiral Symmetry Breaking ◽  
Ladder Approximation ◽  
Coupling Constant ◽  
Induced Gravity ◽  
Negative Cosmological Constant

We formulate the Schwinger–Dyson equations in the ladder approximation for 2-D induced quantum gravity with fermions using covariant gauges of harmonic type. It is shown that these equations can be formulated consistently in a gauge of Landau type (for negative cosmological constant). A numerical analysis of the equations hints towards the possibility of chiral symmetry breaking, depending on the value of the coupling constant.

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