scholarly journals Gravitational decoherence: A nonrelativistic spin 1/2 fermionic model

2021 ◽  
Vol 104 (2) ◽  
Author(s):  
L. Asprea ◽  
G. Gasbarri
Keyword(s):  
Fermionic Model

scholarly journals Parafermionization, bosonization, and critical parafermionic theories

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Yuan Yao ◽  
Akira Furusaki
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Degrees Of Freedom ◽  
Lattice Models ◽  
Partition Functions ◽  
Minimal Models ◽  
Fermionic Model ◽  
Conformal Field ◽  
Critical Theories ◽  
Wigner Transformation

AbstractWe formulate a ℤk-parafermionization/bosonization scheme for one-dimensional lattice models and field theories on a torus, starting from a generalized Jordan-Wigner transformation on a lattice, which extends the Majorana-Ising duality atk= 2. The ℤk-parafermionization enables us to investigate the critical theories of parafermionic chains whose fundamental degrees of freedom are parafermionic, and we find that their criticality cannot be described by any existing conformal field theory. The modular transformations of these parafermionic low-energy critical theories as general consistency conditions are found to be unconventional in that their partition functions on a torus transform differently from any conformal field theory whenk >2. Explicit forms of partition functions are obtained by the developed parafermionization for a large class of critical ℤk-parafermionic chains, whose operator contents are intrinsically distinct from any bosonic or fermionic model in terms of conformal spins and statistics. We also use the parafermionization to exhaust all the ℤk-parafermionic minimal models, complementing earlier works on fermionic cases.

scholarly journals OFF-CRITICAL CURRENT ALGEBRAS

1995 ◽  
Vol 10 (12) ◽  
pp. 1717-1736 ◽  
Author(s):  
E. ABDALLA ◽  
M.C.B. ABDALLA ◽  
G. SOTKOV ◽  
M. STANISHKOV
Keyword(s):  
Abelian Group ◽  
Critical Current ◽  
General Structure ◽  
Dimensional Algebra ◽  
Fermionic Model ◽  
Infinite Dimensional ◽  
Conformally Invariant ◽  
Current Algebras

We discuss the infinite-dimensional algebras appearing in integrable perturbations of conformally invariant theories, with special emphasis on the structure of the consequent non-Abelian infinite-dimensional algebra generalizing W∞ to the case of a non-Abelian group. We prove that the pure left sector as well as the pure right sector of the thus-obtained algebra coincides with the conformally invariant case. The mixed sector is more involved, although the general structure seems to be near to being unraveled. We also find some subalgebras that correspond to Kac-Moody algebras. The constraints imposed by the algebras are very strong and, in the case of the massive deformation of a non-Abelian fermionic model, the symmetry alone is enough to fix the two- and three-point functions of the theory.

scholarly journals Nontopological parafermions in a one-dimensional fermionic model with even multiplet pairing

2018 ◽  
Vol 98 (20) ◽  
Author(s):  
Leonardo Mazza ◽  
Fernando Iemini ◽  
Marcello Dalmonte ◽  
Christophe Mora
Keyword(s):  
Fermionic Model ◽  
One Dimensional

scholarly journals Quantum computation of an interacting fermionic model

2020 ◽  
Vol 5 (3) ◽  
pp. 035010
Author(s):  
Chinmay Mishra ◽  
Shane Thompson ◽  
Raphael Pooser ◽  
George Siopsis
Keyword(s):  
Quantum Computation ◽  
Fermionic Model

Dirac oscillator in a uniform electric field: Path integral treatment

2019 ◽  
Vol 34 (30) ◽  
pp. 1950246
Author(s):  
Hassene Bada ◽  
Mekki Aouachria
Keyword(s):  
Energy Spectrum ◽  
Electric Field ◽  
Path Integral ◽  
Uniform Electric Field ◽  
Two Dimensional ◽  
Dirac Oscillator ◽  
Fermionic Model ◽  
Internal Motions ◽  
Integral Treatment ◽  
The One

In this paper, the propagator of a two-dimensional Dirac oscillator in the presence of a uniform electric field is derived by using the path integral technique. The fact that the globally named approach is used in this work redirects, beforehand, our search for the propagator of the Dirac equation to that of the propagator of its quadratic form. The internal motions relative to the spin are represented by two fermionic oscillators, which are described by Grassmannian variables, according to Schwinger’s fermionic model. Once the integration over the anticommuting variables (Grassmannian variables) is accomplished, the problem becomes the one of finding a non-relativistic propagator with only bosonic variables. The energy spectrum of the electron and the corresponding eigenspinors are also obtained in this work.

scholarly journals The equivalence of the SU(N) Yang-Mills theory with a purely fermionic model

1992 ◽  
Vol 297 (1-2) ◽  
pp. 166-170 ◽  
Author(s):  
Anna Hasenfratz ◽  
Peter Hasenfratz
Keyword(s):  
Fermionic Model ◽  
Yang Mills

scholarly journals Fermionic Model with a Non-Hermitian Hamiltonian

2020 ◽  
Vol 50 (2) ◽  
pp. 143-152 ◽  
Author(s):  
N. Bebiano ◽  
J. da Providência ◽  
S. Nishiyama ◽  
J. P. da Providência
Keyword(s):  
Fermionic Model

CONSTRAINED FERMIONIC MODELS IN NON-TRIVIAL TOPOLOGICAL SECTORS

1992 ◽  
Vol 07 (24) ◽  
pp. 2179-2188 ◽  
Author(s):  
ENRIQUE F. MORENO
Keyword(s):  
Path Integral ◽  
Degrees Of Freedom ◽  
Central Charge ◽  
Coulomb Gas ◽  
Effective Theory ◽  
Fermionic Model ◽  
Topological Sector ◽  
Integral Treatment ◽  
Background Charge

We study a constrained fermionic model involving non-trivial topological gauge configurations. After a path-integral treatment of the topologically trivial degrees of freedom we show that the resulting effective theory is equivalent to a Coulomb gas theory with a "background charge" at infinity plus a b, c ghost system. The Virasoro central charge of the theory is found to be independent of the topological sector.

TWO-STAGE TWISTED FERMIONIC COMPACTIFICATIONS OF HETEROTIC STRINGS

1992 ◽  
Vol 07 (09) ◽  
pp. 801-808
Author(s):  
S.A. MOSS
Keyword(s):  
Two Dimensional ◽  
Two Stage ◽  
Fermionic Model ◽  
Heterotic Strings ◽  
Fermion Pairs

Methods of compactification of 10-dimensional heterotic strings in a two-dimensional and four-dimensional stage in a fermionic type formalism are discussed. Starting from an eight-dimensional fermionic model, the consequences of a further twisting of some of the boson-RNS fermion pairs on the structure and symmetry of such models are examined.

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