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Critical aspects of quantum field theories on the lattice
2008Dottorato di ricerca in Fisica XXI ...
Gravina, Mario +2 more
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Lattice Boltzmann method for quantum field theory
Journal of Physics A: Mathematical and Theoretical, 2007It is shown that a (1 + 1)-dimensional lattice Boltzmann discretization of the Klein–Gordon and Dirac equations complies with equal-time-commutation-relations. As a result, the lattice Boltzmann discretization leads to a consistent lattice formulation of the quantum field theory in 1 + 1 dimensions.
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Quantum solitons and anyons in lattice field theories
Nuclear Physics B - Proceedings Supplements, 1990We briefly report some results obtained in a joint work with J. Frohlich on quantization and particle structure analysis of solitons in Lattice Field Theories. In particular we discuss abelian gauge theories with Chern-Simons term coupled to Higgs fields in three space-time dimensions.
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Lattice fractional quantum field theory: Exact differences approach
Modern Physics Letters A, 2020An approach, which is based on exact fractional differences, is used to formulate a lattice fractional field theories on unbounded lattice spacetime. An exact discretization of differential and integral operators of integer and non-integer orders is suggested.
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Quantum tetrahedral mean-field theory of the pyrochlore lattice
Canadian Journal of Physics, 2001A quantum mean-field theory of the pyrochlore lattice is presented. The starting point is not the individual magnetic ions, as in the usual Curie-Weiss mean-field theory, but a set of interacting corner-sharing tetrahedra. We check the consistency of the model against magnetic susceptibility data and find a good agreement between the theoretical ...
A J García-Adeva, D L Huber
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Lower bounds for quantum Hamiltonians in lattice field theories
Physical Review D, 1978A method for approximately including quantum effects on the solution to lattice field theories is presented. The formalism is an extension of the semiquantum approximation of Sachrajda, Weldon, and Blankenbecler to obtain lower bounds for quantum Hamiltonians. This approach yields classical-like equations in which the effects of quantum fluctuations is
Richard Blankenbecler, Jose R. Fulco
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Quantum theory of an antiferromagnet on a triangular lattice in a magnetic field
Journal of Physics: Condensed Matter, 1991The reorientation process in a magnetic field in two-dimensional isotropic and XY quantum Heisenberg antiferromagnets is shown to occur through the intermediate phase with unbroken continuous symmetry and constant magnetization equal to one third of the saturation value.
A V Chubukov, D I Golosov
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Lattice Renormalization of Non-Perturbative Quantum Field Theory
1980We discuss lattice renormalization as a basis for understanding non-perturbative effects in quantum field theory. We first study two solvable examples of quantum field theory in two dimensions where lattice renormalization may be explicitly carried out, namely the Ising field theory and the Thirring model.
Barry M. Mc Coy, Tai Tsun Wu
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A quantum field theory of lattice dynamics at finite temperature
Physica A: Statistical Mechanics and its Applications, 1984Abstract A quantum field theoretical treatment of three-dimensional cubic crystals at finite temperature is presented from the view-point of the spontaneous breakdown of the spatial translational invariance using thermo field theory. The effective interaction Hamiltonian is constructed by taking into account the dynamical map of the molecular density
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A quantum field theory of lattice dynamics and melting in compounds
Il Nuovo Cimento D, 1989A unified theory on the lattice dynamics and the melting in compounds is presented by taking into account the Coulomb interaction. The melting temperature is determined by the mean value of the eigenfrequencies of the atoms. The theory is applied to zincblende and rock salt structure crystals.
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