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Model theory of finite fields and pseudo-finite fields
Annals of Pure and Applied Logic, 1997 This article gives a survey of the main results obtained to date on finite fields and pseudo-finite fields. In his famous paper ``The elementary theory of finite fields'' [Ann. Math. (2) 88, 239-271 (1968; Zbl 0195.05701)], \textit{J. Ax} has shown that the set \(T_f\) of sentences true in all finite fields is decidable.
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Twinlike models in scalar field theories [PDF]
Physical Review D, 2011 This work deals with the presence of defect structures in models described by real scalar field in a diversity of scenarios. The defect structures which we consider are static solutions of the equations of motion which depend on a single spatial dimension. We search for different models, which support the same defect solution, with the very same energy
Bazeia, D. +4 more
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Field theory of the random flux model [PDF]
Journal of Physics A: Mathematical and General, 1999 4 pages, 1 eps ...
Altland, Alexander, Simons, B. D.
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Field theory as a matrix model [PDF]
Nuclear Physics B, 2000 A new formulation of four dimensional quantum field theories, such as scalar field theory, is proposed as a large N limit of a special NxN matrix model. Our reduction scheme works beyond planar approximation and applies for QFT with finite number of fields. It uses quenched coordinates instead of quenched momenta of the old Eguchi-Kawai reduction known
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Runaway Modes in Model Field Theories [PDF]
Physical Review, 1962 Within the framework of linear quantum field theories, a general study is presented of the existence and removal of runaway modes—solutions of the equations of motion which exhibit a real exponential time dependence. It is hoped that this work will yield insight into the corresponding problem in physically realistic theories.
Coleman, Sidney, Norton, Richard E.
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A stochastic model of a quantum field theory [PDF]
Journal of Statistical Physics, 1995 Correction to second-last paragraph of section 6; footnote added in section 5; section 9 trimmed; other minor changes. PlainTex 19pp. 4 eps figs.
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The standard model as an effective field theory [PDF]
Physics Reports, 2019 Version accepted by Physics Reports. Sections on the EFT landscape and the method of regions added.
Brivio I., Trott M.
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Mean field theory, topological field theory, and multi-matrix models
Nuclear Physics B, 1990 Abstract We show that the genus zero correlation functions of an arbitrary topological field theory coupled to two-dimensional topological gravity are determined by an appropriate Landau-Ginzburg potential. We determine the potentials that arise for topological sigma models with CP 1 or a Calabi-Yau manifold for target space.
Dijkgraaf, R.H., Witten, E.
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Standard Model as a Double Field Theory [PDF]
Physical Review Letters, 2015 We show that, without any extra physical degree introduced, the Standard Model can be readily reformulated as a Double Field Theory. Consequently, the Standard Model can couple to an arbitrary stringy gravitational background in an $\mathbf{O}(4,4)$ T-duality covariant manner and manifest two independent local Lorentz symmetries, $\mathbf{Spin}(1,3 ...
Choi, Kang-Sin, Park, Jeong-Hyuck
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Field Theory and Standard Model
, 2006 Lectures given at the European School of High-Energy Physics, August 2005, Kitzbuehel, Austria, to appear in the ...
Buchmuller, W., Lüdeling, C.
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