Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 12/2013, Volume 88, Issue 11

We apply complex Langevin dynamics to chiral random matrix theory at nonzero chemical potential. At large quark mass, the simulations agree with the analytical...

DENSITY | SYMMETRY | QCD DIRAC OPERATOR | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS

DENSITY | SYMMETRY | QCD DIRAC OPERATOR | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 02/2015, Volume 91, Issue 3

We show that the spectrum of the Dirac operator in complex Langevin simulations of QCD at nonzero chemical potential must behave in a way which is radically...

DENSITY | LIMIT | OPERATOR | EQUATION | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS

DENSITY | LIMIT | OPERATOR | EQUATION | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 8/2010, Volume 2010, Issue 8, pp. 1 - 19

...JHEP08(2010)017 Published for SISSA by Gert Aarts a and K. Splittor b a Department of Physics, Swansea University, Swansea, U.K. b Niels Bohr Institute...

Lattice QCD | Lattice Quantum Field Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | MATRIX | DENSITIES | FERMION | EQUATIONS | STATE | SIMULATIONS | MODEL | PHASE-DIAGRAM | PHYSICS, PARTICLES & FIELDS | Chemical potential

Lattice QCD | Lattice Quantum Field Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | MATRIX | DENSITIES | FERMION | EQUATIONS | STATE | SIMULATIONS | MODEL | PHASE-DIAGRAM | PHYSICS, PARTICLES & FIELDS | Chemical potential

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 02/2015, Volume 91, Issue 3

It is demonstrated that the complex Langevin method can simulate chiral random matrix theory at nonzero chemical potential. The successful match with the...

DENSITY | QCD DIRAC OPERATOR | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS

DENSITY | QCD DIRAC OPERATOR | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 10/2013, Volume 2013, Issue 10, pp. 1 - 37

... Published for SISSA by Springer Received: September 9, 2013 Accepted: September 27, 2013 Published: October 29, 2013 Je Greensite,a,b Joyce C. Myersc and K...

Lattice QCD | Quantum Physics | Quantum Field Theories, String Theory | Strong Coupling Expansion | Classical and Quantum Gravitation, Relativity Theory | Physics | Nonperturbative Effects | Phase Diagram of QCD | Elementary Particles, Quantum Field Theory | Strong coupling expansion | Phase diagram of QCD | Nonperturbative effects | QCD PHASE-DIAGRAM | PHYSICS, PARTICLES & FIELDS | Density of states | Fermions | Lattices | Mathematical models | Gaussian | Deviation | Density | Quantum chromodynamics

Lattice QCD | Quantum Physics | Quantum Field Theories, String Theory | Strong Coupling Expansion | Classical and Quantum Gravitation, Relativity Theory | Physics | Nonperturbative Effects | Phase Diagram of QCD | Elementary Particles, Quantum Field Theory | Strong coupling expansion | Phase diagram of QCD | Nonperturbative effects | QCD PHASE-DIAGRAM | PHYSICS, PARTICLES & FIELDS | Density of states | Fermions | Lattices | Mathematical models | Gaussian | Deviation | Density | Quantum chromodynamics

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 06/2007, Volume 75, Issue 11

We calculate an analogue of the average phase factor of the staggered fermion determinant at imaginary chemical potential. Our results from the lattice agree...

DIRAC OPERATOR | LATTICE QCD | FLAVORS | ASTRONOMY & ASTROPHYSICS | QCD PHASE-DIAGRAM | FINITE-TEMPERATURE | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Lattice

DIRAC OPERATOR | LATTICE QCD | FLAVORS | ASTRONOMY & ASTROPHYSICS | QCD PHASE-DIAGRAM | FINITE-TEMPERATURE | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Lattice

Journal Article

7.
Full Text
Factorization of correlation functions and the replica limit of the Toda lattice equation

Nuclear Physics, Section B, ISSN 0550-3213, 2004, Volume 683, Issue 3, pp. 467 - 507

Exact microscopic spectral correlation functions are derived by means of the replica limit of the Toda lattice equation. We consider both Hermitian and...

HERMITIAN RANDOM MATRICES | 2-DIMENSIONAL QUANTUM-GRAVITY | RANDOM-MATRIX THEORY | FINITE ISOSPIN DENSITY | WEAK NON-HERMITICITY | CHIRAL PERTURBATION-THEORY | WIGNER-DYSON STATISTICS | QCD DIRAC OPERATOR | TAU-FUNCTION THEORY | SPECTRAL SUM-RULES | PHYSICS, PARTICLES & FIELDS

HERMITIAN RANDOM MATRICES | 2-DIMENSIONAL QUANTUM-GRAVITY | RANDOM-MATRIX THEORY | FINITE ISOSPIN DENSITY | WEAK NON-HERMITICITY | CHIRAL PERTURBATION-THEORY | WIGNER-DYSON STATISTICS | QCD DIRAC OPERATOR | TAU-FUNCTION THEORY | SPECTRAL SUM-RULES | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 11/2014, Volume 2014, Issue 11, pp. 1 - 21

... Alexander S. Christensen, a K. Splittor a and J.J.M. Verbaarschot b a Discovery Center, The Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, Copenhagen...

Spontaneous Symmetry Breaking | Lattice Quantum Field Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Effective field theories | DENSITY | OPERATOR | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Lattice

Spontaneous Symmetry Breaking | Lattice Quantum Field Theory | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Effective field theories | DENSITY | OPERATOR | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Lattice

Journal Article

American Journal of Physics, ISSN 0002-9505, 09/2014, Volume 83, Issue 2, pp. 150 - 155

The van der Waals interaction between two polarizable atoms is considered. In three dimensions, the standard form with an attractive 1/R-6 potential is...

PHYSICS, MULTIDISCIPLINARY | EDUCATION, SCIENTIFIC DISCIPLINES | FORCES | Polaritons | Research | Perturbation (Mathematics) | Quantum theory

PHYSICS, MULTIDISCIPLINARY | EDUCATION, SCIENTIFIC DISCIPLINES | FORCES | Polaritons | Research | Perturbation (Mathematics) | Quantum theory

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 06/2007, Volume 75, Issue 11

The expectation value of the complex phase factor of the fermion determinant is computed in the microscopic domain of QCD at nonzero chemical potential. We...

DIRAC OPERATOR | LATTICE QCD | UNIVERSALITY | THERMODYNAMICS | MODELS | RANDOM-MATRIX THEORY | CHIRAL-SYMMETRY | ASTRONOMY & ASTROPHYSICS | FINITE BARYON DENSITY | PHASE-DIAGRAM | 2-COLOR QCD | PHYSICS, PARTICLES & FIELDS

DIRAC OPERATOR | LATTICE QCD | UNIVERSALITY | THERMODYNAMICS | MODELS | RANDOM-MATRIX THEORY | CHIRAL-SYMMETRY | ASTRONOMY & ASTROPHYSICS | FINITE BARYON DENSITY | PHASE-DIAGRAM | 2-COLOR QCD | PHYSICS, PARTICLES & FIELDS

Journal Article

Physical Review Letters, ISSN 0031-9007, 10/2010, Volume 105, Issue 16, p. 162002

We calculate the leading contribution to the spectral density of the Wilson Dirac operator using chiral perturbation theory where volume and lattice spacing...

PHASE-STRUCTURE | LATTICE QCD | STATES | PHYSICS, MULTIDISCIPLINARY | QUARKS | FERMIONS | LIMIT | CORRECTIONS | RANDOMNESS | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | SPECTRAL DENSITY | WILSON LOOP | MATHEMATICAL OPERATORS | DIRAC OPERATORS | FUNCTIONS | PARTICLE PROPERTIES | GAUGE INVARIANCE | FIELD THEORIES | CONSTRUCTIVE FIELD THEORY | MATRICES | QUANTUM OPERATORS | LATTICE FIELD THEORY | PERTURBATION THEORY | INVARIANCE PRINCIPLES | CHIRALITY | QUANTUM FIELD THEORY | SPECTRAL FUNCTIONS

PHASE-STRUCTURE | LATTICE QCD | STATES | PHYSICS, MULTIDISCIPLINARY | QUARKS | FERMIONS | LIMIT | CORRECTIONS | RANDOMNESS | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | SPECTRAL DENSITY | WILSON LOOP | MATHEMATICAL OPERATORS | DIRAC OPERATORS | FUNCTIONS | PARTICLE PROPERTIES | GAUGE INVARIANCE | FIELD THEORIES | CONSTRUCTIVE FIELD THEORY | MATRICES | QUANTUM OPERATORS | LATTICE FIELD THEORY | PERTURBATION THEORY | INVARIANCE PRINCIPLES | CHIRALITY | QUANTUM FIELD THEORY | SPECTRAL FUNCTIONS

Journal Article

Physical review. D, ISSN 2470-0010, 04/2017, Volume 95, Issue 7

We consider two quenched, chiral ensembles which are coupled in such a way that a combined chiral symmetry is preserved. The coupling also links the topology...

Gaussian distribution | Coupled modes | Field theory | Topology | Coupling

Gaussian distribution | Coupled modes | Field theory | Topology | Coupling

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 10/2012, Volume 86, Issue 7

The free energy of effective spin or "Polyakov line" models with a chemical potential, based on the U(N) group, does not depend on the chemical potential. In a...

MONTE-CARLO | SIMULATION | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Lattice

MONTE-CARLO | SIMULATION | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Lattice

Journal Article

Physical Review Letters, ISSN 0031-9007, 2007, Volume 98, Issue 3, p. 031601

We show that in the microscopic domain of QCD (also known as the epsilon domain) at nonzero chemical potential the average phase factor of the fermion...

PHYSICS, MULTIDISCIPLINARY | CHIRAL-SYMMETRY | RANDOM-MATRIX MODEL | FINITE-DENSITY | SPECTRUM | QCD DIRAC OPERATOR | 2 COLORS | LATTICE | DIAGRAM | Physics - High Energy Physics - Lattice | RANDOMNESS | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | QUANTUM CHROMODYNAMICS | POWER FACTOR | FERMIONS | POTENTIALS | CHIRALITY | EXPECTATION VALUE | LAGRANGIAN FUNCTION

PHYSICS, MULTIDISCIPLINARY | CHIRAL-SYMMETRY | RANDOM-MATRIX MODEL | FINITE-DENSITY | SPECTRUM | QCD DIRAC OPERATOR | 2 COLORS | LATTICE | DIAGRAM | Physics - High Energy Physics - Lattice | RANDOMNESS | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | QUANTUM CHROMODYNAMICS | POWER FACTOR | FERMIONS | POTENTIALS | CHIRALITY | EXPECTATION VALUE | LAGRANGIAN FUNCTION

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 1/2010, Volume 2010, Issue 1, pp. 1 - 17

The average phase factor of the QCD fermion determinant signals the strength of the QCD sign problem. We compute the average phase factor as a function of...

Phenomenological Models | Lattice QCD | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Thermal Field Theory | Phenomenological models | Thermal field theory | DENSITY | MATTER | MODEL | DIAGRAM | PHYSICS, PARTICLES & FIELDS | Chemical potential | Flavor (particle physics) | Fermions | Phase transitions

Phenomenological Models | Lattice QCD | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Thermal Field Theory | Phenomenological models | Thermal field theory | DENSITY | MATTER | MODEL | DIAGRAM | PHYSICS, PARTICLES & FIELDS | Chemical potential | Flavor (particle physics) | Fermions | Phase transitions

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2005, Volume 712, Issue 1, pp. 287 - 324

The microscopic spectral density of the QCD Dirac operator at nonzero baryon chemical potential for an arbitrary number of quark flavors was derived recently...

HERMITIAN RANDOM MATRICES | TODA LATTICE EQUATION | LEVEL CORRELATIONS | CHARACTERISTIC-POLYNOMIALS | RANDOM-MATRIX THEORY | FINITE ISOSPIN DENSITY | WEAK NON-HERMITICITY | CHIRAL PERTURBATION-THEORY | VOLUME PARTITION-FUNCTIONS | 2-COLOR QCD | PHYSICS, PARTICLES & FIELDS | High Energy Physics - Lattice | Mathematical Physics | Condensed Matter | Mathematics | High Energy Physics - Theory | Physics | Other

HERMITIAN RANDOM MATRICES | TODA LATTICE EQUATION | LEVEL CORRELATIONS | CHARACTERISTIC-POLYNOMIALS | RANDOM-MATRIX THEORY | FINITE ISOSPIN DENSITY | WEAK NON-HERMITICITY | CHIRAL PERTURBATION-THEORY | VOLUME PARTITION-FUNCTIONS | 2-COLOR QCD | PHYSICS, PARTICLES & FIELDS | High Energy Physics - Lattice | Mathematical Physics | Condensed Matter | Mathematics | High Energy Physics - Theory | Physics | Other

Journal Article

Physical Review D, ISSN 2470-0010, 04/2017, Volume 95, Issue 7

We consider two quenched, chiral ensembles which are coupled in such a way that a combined chiral symmetry is preserved. The coupling also links the topology...

DENSITY | SYMMETRY | RANDOM-MATRIX THEORY | ASTRONOMY & ASTROPHYSICS | REAL | QCD DIRAC OPERATOR | SPECTRAL SUM-RULES | PHYSICS, PARTICLES & FIELDS

DENSITY | SYMMETRY | RANDOM-MATRIX THEORY | ASTRONOMY & ASTROPHYSICS | REAL | QCD DIRAC OPERATOR | SPECTRAL SUM-RULES | PHYSICS, PARTICLES & FIELDS

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2007, Volume 766, Issue 1, pp. 34 - 67

.... By deriving the relevant kernels we find explicit formulas for all ( n , k ) -point spectral (mixed or unmixed) correlation functions...

COUPLED MATRICES | DENSITY | 3-DIMENSIONAL QCD | REPLICA METHOD | RANDOM-MATRIX THEORY | OPERATOR SPECTRA | VOLUME PARTITION-FUNCTIONS | MODEL | SUM-RULES | EIGENVALUE CORRELATIONS | PHYSICS, PARTICLES & FIELDS

COUPLED MATRICES | DENSITY | 3-DIMENSIONAL QCD | REPLICA METHOD | RANDOM-MATRIX THEORY | OPERATOR SPECTRA | VOLUME PARTITION-FUNCTIONS | MODEL | SUM-RULES | EIGENVALUE CORRELATIONS | PHYSICS, PARTICLES & FIELDS

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 1999, Volume 548, Issue 1, pp. 613 - 625

Universality in unitary invariant random matrix ensembles with complex matrix elements is considered. We treat two general ensembles which have a determinant...

Chiral symmetry | Random matrix theory | Universality | Ginsparg-Wilson relation | universality | DIRAC OPERATOR | CORRELATORS | chiral symmetry | PHYSICS, NUCLEAR | SPECTRAL SUM-RULES | COMPLEX MATRICES | 3-DIMENSIONAL QCD | CHIRAL-SYMMETRY | random matrix theory | LATTICE | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Chiral symmetry | Random matrix theory | Universality | Ginsparg-Wilson relation | universality | DIRAC OPERATOR | CORRELATORS | chiral symmetry | PHYSICS, NUCLEAR | SPECTRAL SUM-RULES | COMPLEX MATRICES | 3-DIMENSIONAL QCD | CHIRAL-SYMMETRY | random matrix theory | LATTICE | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

PHYSICAL REVIEW D, ISSN 2470-0010, 12/2019, Volume 100, Issue 11, p. 1

The epsilon-regime of dilaton chiral perturbation theory is introduced. We compute the dilaton mass, the chiral condensate and the topological susceptibility...

BREAKING | SPECTRUM | QCD DIRAC OPERATOR | CONFORMAL SYMMETRY | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Perturbation theory | Chiral dynamics | Fermions | Dilatons | Condensates | Density | conformal field theory | nonperturbative effects in field theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | effective field theory | Lattice field theory

BREAKING | SPECTRUM | QCD DIRAC OPERATOR | CONFORMAL SYMMETRY | ASTRONOMY & ASTROPHYSICS | PHYSICS, PARTICLES & FIELDS | Perturbation theory | Chiral dynamics | Fermions | Dilatons | Condensates | Density | conformal field theory | nonperturbative effects in field theory | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | effective field theory | Lattice field theory

Journal Article

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