Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2020, Volume 485, Issue 2, p. 123808

.... This is taken into account in a so-called mass decomposition. The involved fermionic signature operator defines a fermionic projector state...

Fermionic signature operator | de Sitter spacetime | Hadamard states | Dirac operator | Quantum field theory on curved spacetime | MATHEMATICS, APPLIED | STATES | TIMES | NONPERTURBATIVE CONSTRUCTION | QUANTUM-FIELD-THEORY | MATHEMATICS | HADAMARD CONDITION | PROJECTOR

Fermionic signature operator | de Sitter spacetime | Hadamard states | Dirac operator | Quantum field theory on curved spacetime | MATHEMATICS, APPLIED | STATES | TIMES | NONPERTURBATIVE CONSTRUCTION | QUANTUM-FIELD-THEORY | MATHEMATICS | HADAMARD CONDITION | PROJECTOR

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2017, Volume 454, Issue 1, pp. 385 - 411

The fermionic signature operator is constructed in Rindler space-time. It is shown to be an unbounded self-adjoint operator on the Hilbert space of solutions of the massive Dirac equation...

Fermionic signature operator | Quantum states | Rindler space-time | Dirac equation | MATHEMATICS | FIELDS | MATHEMATICS, APPLIED | NONPERTURBATIVE CONSTRUCTION | PROJECTOR | Atoms | Projectors

Fermionic signature operator | Quantum states | Rindler space-time | Dirac equation | MATHEMATICS | FIELDS | MATHEMATICS, APPLIED | NONPERTURBATIVE CONSTRUCTION | PROJECTOR | Atoms | Projectors

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 12/2017, Volume 107, Issue 12, pp. 2433 - 2451

...Lett Math Phys (2017) 107:2433â€“2451 DOI 10.1007/s11005-017-0998-z A new class of Fermionic Projectors: MÃ¸ller operators and mass oscillation properties NicolÃ³...

Mass oscillation property | Theoretical, Mathematical and Computational Physics | Complex Systems | Dirac fields | 81T05 | Physics | Geometry | Self-dual CAR algebra | 46N50 | MÃ¸ller operator | 81T20 | Fermionic Projector | Quasi-free states | Group Theory and Generalizations | 81Q10 | MICROLOCAL SPECTRUM CONDITION | 2-POINT FUNCTION | OBSERVABLES | HADAMARD STATES | PHYSICS, MATHEMATICAL | QUANTUM-FIELD-THEORY | SINGULARITY STRUCTURE | CONSTRUCTION | CURVED SPACE-TIME | Moller operator | MANIFOLD | Projectors | Algebra

Mass oscillation property | Theoretical, Mathematical and Computational Physics | Complex Systems | Dirac fields | 81T05 | Physics | Geometry | Self-dual CAR algebra | 46N50 | MÃ¸ller operator | 81T20 | Fermionic Projector | Quasi-free states | Group Theory and Generalizations | 81Q10 | MICROLOCAL SPECTRUM CONDITION | 2-POINT FUNCTION | OBSERVABLES | HADAMARD STATES | PHYSICS, MATHEMATICAL | QUANTUM-FIELD-THEORY | SINGULARITY STRUCTURE | CONSTRUCTION | CURVED SPACE-TIME | Moller operator | MANIFOLD | Projectors | Algebra

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 2/2019, Volume 2019, Issue 2, pp. 1 - 25

.... Small couplings and small mass splittings lead to slow mediator decays, leaving signatures with displaced vertices or disappearing tracks at colliders...

Supersymmetric Standard Model | Beyond Standard Model | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Higgs Physics | Physics | Elementary Particles, Quantum Field Theory | NEUTRALINO RELIC DENSITY | FERMIONIC DARK-MATTER | SEARCHES | ABUNDANCE | PHYSICS, PARTICLES & FIELDS | Analysis | Dark matter (Astronomy) | Couplings | Supersymmetry | Decay rate | Dark matter | Large Hadron Collider | Leptons | Fermions | Apexes | Data search | Signatures | Displacement

Supersymmetric Standard Model | Beyond Standard Model | Quantum Physics | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Higgs Physics | Physics | Elementary Particles, Quantum Field Theory | NEUTRALINO RELIC DENSITY | FERMIONIC DARK-MATTER | SEARCHES | ABUNDANCE | PHYSICS, PARTICLES & FIELDS | Analysis | Dark matter (Astronomy) | Couplings | Supersymmetry | Decay rate | Dark matter | Large Hadron Collider | Leptons | Fermions | Apexes | Data search | Signatures | Displacement

Journal Article

Physics Letters B, ISSN 0370-2693, 09/2016, Volume 760, Issue C, pp. 164 - 169

.... However, its propagator is not a Green's function of the Kleinâ€“Gordon operator. We propose an infinitesimal deformation to the propagator such that it admits an operator in which the deformed propagator is a Green's function...

Fermionic dark matter | Elko | Mass dimension one fermions | ELKO SPINOR FIELDS | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | DIRAC | PHYSICS, PARTICLES & FIELDS | Nuclear and High Energy Physics | Physics

Fermionic dark matter | Elko | Mass dimension one fermions | ELKO SPINOR FIELDS | ASTRONOMY & ASTROPHYSICS | PHYSICS, NUCLEAR | DIRAC | PHYSICS, PARTICLES & FIELDS | Nuclear and High Energy Physics | Physics

Journal Article

6.
Full Text
Constrained BRST-BFV Lagrangian formulations for higher spin fields in Minkowski spaces

Journal of High Energy Physics, ISSN 1126-6708, 9/2018, Volume 2018, Issue 9, pp. 1 - 65

... a . In both cases, the latter constraints supercommute on the constraint surface with constrained BRST operator Q C and spin operators Ïƒ C...

Gauge Symmetry | BRST Quantization | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Higher Spin Symmetry | MASSLESS FIELDS | CUBIC INTERACTION VERTICES | MASSIVE FIELDS | RELATIVISTIC SYSTEMS | FRAME-LIKE ACTIONS | FERMIONIC FIELDS | OPERATOR QUANTIZATION | HALF-INTEGER-SPIN | DYNAMICAL-SYSTEMS SUBJECT | MIXED-SYMMETRY FIELDS | PHYSICS, PARTICLES & FIELDS | Analysis | Algebra | Formulations | Group theory | Minkowski space | Oscillators | Invariants | Operators (mathematics) | Ghosts | Tensors | Constraints | Equivalence | Mathematical analysis | Partitions (mathematics) | Hilbert space | Vectors (mathematics) | Representations | Symmetry

Gauge Symmetry | BRST Quantization | Quantum Physics | Field Theories in Higher Dimensions | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | Elementary Particles, Quantum Field Theory | Higher Spin Symmetry | MASSLESS FIELDS | CUBIC INTERACTION VERTICES | MASSIVE FIELDS | RELATIVISTIC SYSTEMS | FRAME-LIKE ACTIONS | FERMIONIC FIELDS | OPERATOR QUANTIZATION | HALF-INTEGER-SPIN | DYNAMICAL-SYSTEMS SUBJECT | MIXED-SYMMETRY FIELDS | PHYSICS, PARTICLES & FIELDS | Analysis | Algebra | Formulations | Group theory | Minkowski space | Oscillators | Invariants | Operators (mathematics) | Ghosts | Tensors | Constraints | Equivalence | Mathematical analysis | Partitions (mathematics) | Hilbert space | Vectors (mathematics) | Representations | Symmetry

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 09/2009, Volume 50, Issue 9, pp. 095210 - 095210-43

.... Three bases are known. The classic one is given by strings of the fundamental parafermionic operators whose sequences of modes are in correspondence with restricted partitions with parts at distance k...

BAXTER-FORRESTER MODEL | SYMMETRY Z(N) | MINIMAL SERIES M(P,P') | FERMIONIC SOLUTION | LATTICE PATHS | ROGERS-RAMANUJAN IDENTITIES | MANY-BODY PROBLEM | VERMA MODULES | 8-VERTEX SOS MODEL | CONFORMAL FIELD-THEORIES | PHYSICS, MATHEMATICAL

BAXTER-FORRESTER MODEL | SYMMETRY Z(N) | MINIMAL SERIES M(P,P') | FERMIONIC SOLUTION | LATTICE PATHS | ROGERS-RAMANUJAN IDENTITIES | MANY-BODY PROBLEM | VERMA MODULES | 8-VERTEX SOS MODEL | CONFORMAL FIELD-THEORIES | PHYSICS, MATHEMATICAL

Journal Article

2012, 2012, ISBN 3034800428

Causal fermion systems are introduced as a general mathematical framework for formulating relativistic quantum theory. By specializing, we recover earlier...

Global Analysis and Analysis on Manifolds | Field Theory and Polynomials | Mathematics | Quantum geometry | fermionic projector approach | causal fermion systems

Global Analysis and Analysis on Manifolds | Field Theory and Polynomials | Mathematics | Quantum geometry | fermionic projector approach | causal fermion systems

Book Chapter

New Journal of Physics, ISSN 1367-2630, 10/2017, Volume 19, Issue 10, p. 103034

Aone-dimensional fermionic system, such as a superconducting wire, may host Majorana zero-energy edge modes (MZMs) at its edges when it is in the topological...

fermionic Systems | frustration-free Hamiltonians | topological phases | Majorana zero modes | gapped systems | one-dimensional systems | strongly correlated electrons | RENORMALIZATION-GROUP | PHYSICS, MULTIDISCIPLINARY | QUANTUM | FERMIONS | SUPERCONDUCTOR | fermionic systems | MATRIX PRODUCT STATES | GROUND-STATES | Fault tolerance | Quantum computing | Frustration | Physics - Quantum Physics

fermionic Systems | frustration-free Hamiltonians | topological phases | Majorana zero modes | gapped systems | one-dimensional systems | strongly correlated electrons | RENORMALIZATION-GROUP | PHYSICS, MULTIDISCIPLINARY | QUANTUM | FERMIONS | SUPERCONDUCTOR | fermionic systems | MATRIX PRODUCT STATES | GROUND-STATES | Fault tolerance | Quantum computing | Frustration | Physics - Quantum Physics

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 07/2002, Volume 2002, Issue 7, pp. 005 - 181

We propose a new form of dimensional reduction that constrains dilatation instead of a component of momentum. It corresponds to replacing toroidal...

Gauge Symmetry | Field Theories in Higher Dimensions | Space-Time Symmetries | field theories in higher dimensions | gauge symmetry | space-time symmetries | CONSISTENT EQUATIONS | LIGHT-CONE | HIGHER-SPIN FIELDS | STRING FIELDS | SPACE-TIME | MASSLESS FERMIONIC FIELDS | ARBITRARY SPIN | GAUGE-FIELDS | OSP(1,1/2) | EUCLIDEAN GREENS FUNCTIONS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Gauge Symmetry | Field Theories in Higher Dimensions | Space-Time Symmetries | field theories in higher dimensions | gauge symmetry | space-time symmetries | CONSISTENT EQUATIONS | LIGHT-CONE | HIGHER-SPIN FIELDS | STRING FIELDS | SPACE-TIME | MASSLESS FERMIONIC FIELDS | ARBITRARY SPIN | GAUGE-FIELDS | OSP(1,1/2) | EUCLIDEAN GREENS FUNCTIONS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 8/2011, Volume 97, Issue 2, pp. 165 - 183

In this survey article, we explain a few ideas behind the fermionic projector approach and summarize recent results which clarify the connection to quantum...

Geometry | 81T15 | Theoretical, Mathematical and Computational Physics | Dirac sea | fermionic projector | Group Theory and Generalizations | 81-02 | Relativistic quantum theory | Statistical Physics, Dynamical Systems and Complexity | 81T27 | Physics | SPACE | POLARIZED VACUUM | ELECTRONS | ELECTRODYNAMICS | POSITRON | PHYSICS, MATHEMATICAL | Projectors

Geometry | 81T15 | Theoretical, Mathematical and Computational Physics | Dirac sea | fermionic projector | Group Theory and Generalizations | 81-02 | Relativistic quantum theory | Statistical Physics, Dynamical Systems and Complexity | 81T27 | Physics | SPACE | POLARIZED VACUUM | ELECTRONS | ELECTRODYNAMICS | POSITRON | PHYSICS, MATHEMATICAL | Projectors

Journal Article

New Journal of Physics, ISSN 1367-2630, 2014, Volume 16, Issue 7, pp. 73016 - 28

We propose and construct a numerical algorithm to calculate the Berry conductivity in topological band insulators. The method is applicable to cold atom...

topological metals | topological insulators | quantum simulation | cold fermionic gas | integer quantum Hall effect | MAGNETIC-FIELDS | NUMBERS | PHYSICS, MULTIDISCIPLINARY | FERMIONS | HGTE QUANTUM-WELLS | HALL CONDUCTANCE | SINGLE DIRAC CONE | SUPERLATTICES | SURFACE | REALIZATION | Energy gap | Algorithms | Numerical analysis | Quantum wells | Cadmium tellurides | Two dimensional models | Conductivity | Insulators | Hall effect | Topology | Heterostructures | Construction | Berries | Fermi surfaces | Mathematical models | Cold atoms

topological metals | topological insulators | quantum simulation | cold fermionic gas | integer quantum Hall effect | MAGNETIC-FIELDS | NUMBERS | PHYSICS, MULTIDISCIPLINARY | FERMIONS | HGTE QUANTUM-WELLS | HALL CONDUCTANCE | SINGLE DIRAC CONE | SUPERLATTICES | SURFACE | REALIZATION | Energy gap | Algorithms | Numerical analysis | Quantum wells | Cadmium tellurides | Two dimensional models | Conductivity | Insulators | Hall effect | Topology | Heterostructures | Construction | Berries | Fermi surfaces | Mathematical models | Cold atoms

Journal Article

Classical and Quantum Gravity, ISSN 0264-9381, 11/2000, Volume 17, Issue 22, pp. R41 - R116

The physical motivations and the basic construction rules for type I strings and M-theory compactifications are reviewed in the light of recent developments....

PHYSICS, MULTIDISCIPLINARY | SU WZW MODELS | KALUZA-KLEIN STATES | HORAVA-WITTEN SUPERGRAVITY | ASTRONOMY & ASTROPHYSICS | ART. NO. 086001 | COSMOLOGICAL CONSTANT PROBLEM | LARGE EXTRA DIMENSIONS | SPACE-TIME DIMENSIONS | SCALE QUANTUM-GRAVITY | SPONTANEOUS SUPERSYMMETRY BREAKING | FERMIONIC SUPERSTRING MODELS | PHYSICS, PARTICLES & FIELDS

PHYSICS, MULTIDISCIPLINARY | SU WZW MODELS | KALUZA-KLEIN STATES | HORAVA-WITTEN SUPERGRAVITY | ASTRONOMY & ASTROPHYSICS | ART. NO. 086001 | COSMOLOGICAL CONSTANT PROBLEM | LARGE EXTRA DIMENSIONS | SPACE-TIME DIMENSIONS | SCALE QUANTUM-GRAVITY | SPONTANEOUS SUPERSYMMETRY BREAKING | FERMIONIC SUPERSTRING MODELS | PHYSICS, PARTICLES & FIELDS

Journal Article

Low Temperature Physics, ISSN 1063-777X, 04/2006, Volume 32, Issue 4, pp. 406 - 423

This review is written at the time of the twentieth anniversary of the discovery of high-temperature superconductors, which nearly coincides with the important...

High-temperature T | superconductivity | Fermionic atomic systems | Bose-Einstein condensation | HEAT | PHYSICS, APPLIED | NORMAL-STATE | EXCITATIONS | PSEUDOGAP STATE | PAIRING GAP | NEUTRON-SCATTERING | BOSE-EINSTEIN-CONDENSATION | MAGNETIC FLUCTUATIONS | T-C | COHERENCE

High-temperature T | superconductivity | Fermionic atomic systems | Bose-Einstein condensation | HEAT | PHYSICS, APPLIED | NORMAL-STATE | EXCITATIONS | PSEUDOGAP STATE | PAIRING GAP | NEUTRON-SCATTERING | BOSE-EINSTEIN-CONDENSATION | MAGNETIC FLUCTUATIONS | T-C | COHERENCE

Journal Article

Communications in Theoretical Physics, ISSN 0253-6102, 09/2007, Volume 48, Issue 3, pp. 457 - 460

The Casimir effect has been studied for various quantum fields in both flat and curved spacetimes. As a further step along this line, we provide an explicit...

Massless spin-3/2 field | Casimir effect | casimir effect | VACUUM | SPHERICAL BOUNDARY | PHYSICS, MULTIDISCIPLINARY | massless spin-3/2 field | BAG | MU-M | EVEN N | FERMIONIC QUANTUM-FIELD | FORCE | SCALAR FIELDS | ZERO-POINT ENERGY | DOMAIN-WALL | Physics - High Energy Physics - Theory

Massless spin-3/2 field | Casimir effect | casimir effect | VACUUM | SPHERICAL BOUNDARY | PHYSICS, MULTIDISCIPLINARY | massless spin-3/2 field | BAG | MU-M | EVEN N | FERMIONIC QUANTUM-FIELD | FORCE | SCALAR FIELDS | ZERO-POINT ENERGY | DOMAIN-WALL | Physics - High Energy Physics - Theory

Journal Article

Journal of Low Temperature Physics, ISSN 0022-2291, 12/2012, Volume 169, Issue 5, pp. 350 - 366

We examine the effect of fermionic exchange interactions on the dynamic structure function of two-dimensional 3He within a manifestly microscopic theory of...

Condensed Matter Physics | Dynamic structure | Characterization and Evaluation of Materials | Physics | Magnetism, Magnetic Materials | Fermionic Helium in two dimensions | Exchange interactions | Fermionic helium in two dimensions

Condensed Matter Physics | Dynamic structure | Characterization and Evaluation of Materials | Physics | Magnetism, Magnetic Materials | Fermionic Helium in two dimensions | Exchange interactions | Fermionic helium in two dimensions

Journal Article