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MCMC and Quantum Field Theories on a Lattice
2020We can consider relativistic quantum field theory as the quantum mechanics of fields defined on a spacetime. A field has infinite number of degrees of freedom since it can take a value at every point in spacetime.
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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 Chubokov, D I Golosov
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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, José R. Fulco
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A quantum field theory of melting and lattice dynamics
Physica A: Statistical Mechanics and its Applications, 1986Abstract The melting and the lattice dynamics are investigated from the view-point of a quantum field theory at finite temperature (thermo field theory). Our theory starts with ion cores and valence electrons interacting with each other as the first principle.
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Quantum field theory approach to condensed matter physics
Contemporary physics (Print), 2018Condensedmatter theory is currently enjoying a huge surge of new developments and interest, possibly spurred by recent experimental work developing quantum spin Hall effect devices and topological insulators.
A. Resnick
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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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, 2019
This modern text combines fundamental principles with advanced topics and recent techniques in a rigorous and self-contained treatment of quantum field theory.Beginning with a review of basic principles, starting with quantum mechanics and special ...
F. Gelis
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This modern text combines fundamental principles with advanced topics and recent techniques in a rigorous and self-contained treatment of quantum field theory.Beginning with a review of basic principles, starting with quantum mechanics and special ...
F. Gelis
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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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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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Lattice Quantum Field Theory of the Dirac and Gauge Fields
, 2020B. Baaquie
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