Springer proceedings in mathematics & statistics, 2018
In this article, starting from a review of basic aspects of the Sachdev-Ye-Kitaev (SYK) model in ... more In this article, starting from a review of basic aspects of the Sachdev-Ye-Kitaev (SYK) model in the large N limit, we discuss at non-linear-level the deduction of the zero mode effective Schwarzian action, featuring emergent finite reparametrization symmetry. We then discuss the question of identifying the bulk space-time of the SYK model. We explain the need for non-local (Radon-type) transformations on external legs of n-point Green’s functions, leading to a dual theory with Euclidean AdS signature with additional leg-factors. We show that the SYK spectrum and the bi-local propagator can be obtained from a Horava-Witten type compactification of a three dimensional model.
Progress in understanding and solving a large class of two-dimensional nonlinear quantum field th... more Progress in understanding and solving a large class of two-dimensional nonlinear quantum field theories is reviewed. The discovery and development of the inverse scattering method for solving partial differential equations, and development of new perturbative methods are discussed. The generalized Bethe-ansatz method and its application to exactly diagonalize a fermionic problem are covered. 52 references. (GHT)
The main emphasis in the theoretical program has been in the area of string theory; also investig... more The main emphasis in the theoretical program has been in the area of string theory; also investigated were confinement and other aspects of QCD, electroweak symmetry breaking, and electroweak baryogenesis. The research program in computational physics concentrated on the development of the source Galerkin method of numerical quantum field theory. One portion of the experimental program dealt with interactions of leptons and hadrons from accelerator and strophysics sources. A description of the Large Volume Detector at Gran Sasso and its use as a stellar collapse monitor is given, along with an account of research and development on resistive plate counters. The rest of the experimental program concerns hadron collider and neutrino physics, with major emphasis on the D0 experiment at the Tevatron. The commissioning of the D0 detector and its operation are described, along with D0 analysis. Also reported is a novel cryogenic technique utilizing superfluid helium for neutrino calorimetry.
We review two approaches to string dynamics: the renormalization group method and the string fiel... more We review two approaches to string dynamics: the renormalization group method and the string field theory formalism. The emphasis is on the relationship between these two seemingly different methods. The basic line of thought is that a renormalization group flow of a most general background coupled σ-model should lead to the equations of string field theory. Recent progress on this is summarized and a critical review of the results is given. Some new ideas concerning most general couplings are described.
Accomplishments are reported in the areas of string theory, nonperturbative analyses in quantum f... more Accomplishments are reported in the areas of string theory, nonperturbative analyses in quantum field theories, flavor gauge theory and grand unification theories, physics at the very early universe and quantum field theory, and critical phenomena in quantum field theory. (LEW)
Springer proceedings in mathematics & statistics, 2018
In this article, starting from a review of basic aspects of the Sachdev-Ye-Kitaev (SYK) model in ... more In this article, starting from a review of basic aspects of the Sachdev-Ye-Kitaev (SYK) model in the large N limit, we discuss at non-linear-level the deduction of the zero mode effective Schwarzian action, featuring emergent finite reparametrization symmetry. We then discuss the question of identifying the bulk space-time of the SYK model. We explain the need for non-local (Radon-type) transformations on external legs of n-point Green’s functions, leading to a dual theory with Euclidean AdS signature with additional leg-factors. We show that the SYK spectrum and the bi-local propagator can be obtained from a Horava-Witten type compactification of a three dimensional model.
Progress in understanding and solving a large class of two-dimensional nonlinear quantum field th... more Progress in understanding and solving a large class of two-dimensional nonlinear quantum field theories is reviewed. The discovery and development of the inverse scattering method for solving partial differential equations, and development of new perturbative methods are discussed. The generalized Bethe-ansatz method and its application to exactly diagonalize a fermionic problem are covered. 52 references. (GHT)
The main emphasis in the theoretical program has been in the area of string theory; also investig... more The main emphasis in the theoretical program has been in the area of string theory; also investigated were confinement and other aspects of QCD, electroweak symmetry breaking, and electroweak baryogenesis. The research program in computational physics concentrated on the development of the source Galerkin method of numerical quantum field theory. One portion of the experimental program dealt with interactions of leptons and hadrons from accelerator and strophysics sources. A description of the Large Volume Detector at Gran Sasso and its use as a stellar collapse monitor is given, along with an account of research and development on resistive plate counters. The rest of the experimental program concerns hadron collider and neutrino physics, with major emphasis on the D0 experiment at the Tevatron. The commissioning of the D0 detector and its operation are described, along with D0 analysis. Also reported is a novel cryogenic technique utilizing superfluid helium for neutrino calorimetry.
We review two approaches to string dynamics: the renormalization group method and the string fiel... more We review two approaches to string dynamics: the renormalization group method and the string field theory formalism. The emphasis is on the relationship between these two seemingly different methods. The basic line of thought is that a renormalization group flow of a most general background coupled σ-model should lead to the equations of string field theory. Recent progress on this is summarized and a critical review of the results is given. Some new ideas concerning most general couplings are described.
Accomplishments are reported in the areas of string theory, nonperturbative analyses in quantum f... more Accomplishments are reported in the areas of string theory, nonperturbative analyses in quantum field theories, flavor gauge theory and grand unification theories, physics at the very early universe and quantum field theory, and critical phenomena in quantum field theory. (LEW)
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Papers by Antal Jevicki