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Satoshi Ohya - One of the best experts on this subject based on the ideXlab platform.
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Conformal Ward–Takahashi Identity at Finite Temperature
Quantum Theory and Symmetries with Lie Theory and Its Applications in Physics Volume 2, 2018Co-Authors: Satoshi OhyaAbstract:We study conformal Ward–Takahashi identities for two-point functions in \(d(\ge 3)\)-dimensional Finite-Temperature conformal field theory. We first show that the conformal Ward–Takahashi identities can be translated into the intertwining relations of conformal algebra \(\mathfrak {so}(2,d)\). We then show that, at finite temperature, the intertwining relations can be translated into the recurrence relations for two-point functions in complex momentum space. By solving these recurrence relations, we find the momentum-space two-point functions that satisfy the Kubo–Martin–Schwinger thermal equilibrium condition.
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Conformal Ward-Takahashi Identity at Finite Temperature
arXiv: High Energy Physics - Theory, 2018Co-Authors: Satoshi OhyaAbstract:We study conformal Ward-Takahashi identities for two-point functions in $d(\geq3)$-dimensional Finite-Temperature conformal field theory. We first show that the conformal Ward-Takahashi identities can be translated into the intertwining relations of conformal algebra $\mathfrak{so}(2,d)$. We then show that, at finite temperature, the intertwining relations can be translated into the recurrence relations for two-point functions in complex momentum space. By solving these recurrence relations, we find the momentum-space two-point functions that satisfy the Kubo-Martin-Schwinger thermal equilibrium condition.
Kevin Young - One of the best experts on this subject based on the ideXlab platform.
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finite temperature quantum simulation of stabilizer hamiltonians
Journal of Physics B, 2012Co-Authors: Kevin Young, Mohan Sarovar, Jon M Aytac, C M Herdman, Birgitta K WhaleyAbstract:We present a scheme for robust finite temperature quantum simulation of stabilizer Hamiltonians. The scheme is designed for realization in a physical system consisting of a finite set of neutral atoms trapped in an addressable optical lattice that are controllable via one- and two-body operations together with dissipative one-body operations such as optical pumping. We show that these minimal physical constraints suffice for design of a quantum simulation scheme for any stabilizer Hamiltonian at arbitrary temperature. We demonstrate the approach with application to the Abelian and non-Abelian toric codes. (Some figures may appear in colour only in the online journal)
Ashok Das - One of the best experts on this subject based on the ideXlab platform.
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Effective actions at finite temperature
Physical Review D, 2009Co-Authors: Ashok Das, Josif FrenkelAbstract:This is a more detailed version of our recent paper where we proposed, from first principles, a direct method for evaluating the exact fermion propagator in the presence of a general background field at finite temperature. This can, in turn, be used to determine the finite temperature effective action for the system. As applications, we discuss the complete one loop finite temperature effective actions for 0+1 dimensional QED as well as for the Schwinger model in detail. These effective actions, which are derived in the real time (closed time path) formalism, generate systematically all the Feynman amplitudes calculated in thermal perturbation theory and also show that the retarded (advanced) amplitudes vanish in these theories. Various other aspects of the problem are also discussed in detail.
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Finite temperature effective actions
Physics Letters B, 2009Co-Authors: Ashok Das, Josif FrenkelAbstract:Abstract We present, from first principles, a direct method for evaluating the exact fermion propagator in the presence of a general background field at finite temperature, which can be used to determine the finite temperature effective action for the system. As applications, we determine the complete one loop finite temperature effective actions for ( 0 + 1 )-dimensional QED as well as the Schwinger model. These effective actions, which are derived in the real time (closed time path) formalism, generate systematically all the Feynman amplitudes calculated in thermal perturbation theory and also show that the retarded (advanced) amplitudes vanish in these theories.
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Finite Temperature Field Theory
1997Co-Authors: Ashok DasAbstract:This text discusses all three formalisms used in the study of finite temperature field theory, namely the imaginary time formalism, the closed time formalism and thermofield dynamics. Applications of the formalisms are worked out in detail. Gauge field theories and symmetry restoration at finite temperature are among the practical examples discussed in depth. The question of gauge dependence of the effective potential and the Nielsen identities are explained. The nonrestoration of some symmetries at high temperature (such as supersymmetry) and theories on nonsimply connected space-times are also described thoroughly. Other topics include (1+1)- and (2+1)-dimensional field theories at finite temperature and phase transitions, derivative expansion, linear response theory and the question of infrared divergences at finite temperature. In addition, examples of nonequilibrium phenomena are discussed with the disoriented chiral condensates as an illustration. This book should be a useful tool for graduate students, teachers, and researchers in theoretical physics.
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Derivative expansion at finite temperature.
Physical Review D, 1994Co-Authors: Ashok Das, Marcelo HottAbstract:In this Brief Report, we indicate the origin of nonanalyticity in the method of derivative expansion at finite temperature and discuss some of its consequences.
Birgitta K Whaley - One of the best experts on this subject based on the ideXlab platform.
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finite temperature quantum simulation of stabilizer hamiltonians
Journal of Physics B, 2012Co-Authors: Kevin Young, Mohan Sarovar, Jon M Aytac, C M Herdman, Birgitta K WhaleyAbstract:We present a scheme for robust finite temperature quantum simulation of stabilizer Hamiltonians. The scheme is designed for realization in a physical system consisting of a finite set of neutral atoms trapped in an addressable optical lattice that are controllable via one- and two-body operations together with dissipative one-body operations such as optical pumping. We show that these minimal physical constraints suffice for design of a quantum simulation scheme for any stabilizer Hamiltonian at arbitrary temperature. We demonstrate the approach with application to the Abelian and non-Abelian toric codes. (Some figures may appear in colour only in the online journal)
Faqir C. Khanna - One of the best experts on this subject based on the ideXlab platform.
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Gravitational Casimir Effect at Finite Temperature
International Journal of Theoretical Physics, 2016Co-Authors: A. F. Santos, Faqir C. KhannaAbstract:The energy-momentum tensor for the gravitoelectromagnetism-(GEM) theory in the real-time finite temperature field theory formalism is presented. Expressions for the Casimir energy and pressure at zero and finite temperature are obtained. An analysis of the Casimir effect for the GEM field is developed.
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Quantized gravitoelectromagnetism theory at finite temperature
International Journal of Modern Physics A, 2016Co-Authors: A. F. Santos, Faqir C. KhannaAbstract:The Gravitoelectromagnetism (GEM) theory is considered in a Lagrangian formulation using the Weyl tensor components. A perturbative approach to calculate processes at zero temperature has been used. Here the GEM at finite temperature is analyzed using Thermo Field Dynamics, real time finite temperature quantum field theory. Transition amplitudes involving gravitons, fermions and photons are calculated for various processes. These amplitudes are likely of interest in astrophysics.
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Quantum chaos at finite temperature
Non-Linear Dynamics and Fundamental Interactions, 1Co-Authors: Davron Matrasulov, U. R. Salomov, Faqir C. Khanna, Ademir Eugênio De SantanaAbstract:Quantum chaos at Finite-Temperature is studied using a simple paradigm, two-dimensional coupled nonlinear oscillator. As an approach for the treatment of the Finite-Temperature a real-time Finite-Temperature field theory, thermofield dynamics, is used. It is found that increasing the temperature leads to a smooth transition from Poissonian to Gaussian distribution in nearest neighbor level spacing distribution.
