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P-adic quantum field theory

WebOct 12, 2024 · Abstract: We study in a rigorous mathematical way p-adic quantum field theories whose N-point amplitudes are the expectation of products of vertex operators. … WebNov 30, 2024 · p-adic analysis and q-calculus encompass several domains in mathematics and physics, including number theory, algebraic geometry, algebraic topology, …

(PDF) On p-Adic Functional Integration - ResearchGate

WebSep 1, 2001 · p-ADIC AND ADELIC QUANTUM FIELD THEORY As a basic instrument in construction of our new approach to p-adic and adelic quantum field theory we use … WebFeb 15, 2024 · p-Adic statistical field theories (SFTs) are in correspondence with deep belief networks (DBNs). Deep belief networks (DBNs) are constructed by stacking several restricted Boltzmann machines (RBMs). An RBM corresponds a certain spin glass, thus a DBN should correspond to an ultrametric spin glass. power automation sign in https://puretechnologysolution.com

Theory of p-adic Distributions - Cambridge Core

WebSep 1, 2001 · Quantum amplitudes are taken as complex functions of p-adic variables and it is shown how the Weyl approach to quantum mechanics can be generalized to the p-adic … Web3 p-Adic Field Theories As a free action in p-adic field theory one can take the following functional S(f) = Z Qp fDfdx where f = f(x) is a function f : Q p → R, dxis the Haar … WebThis relatively recent theory has become increasingly important in the last decade with exciting applications in a variety of fields, including biology, image analysis, psychology, … towerpoint logo

RENORMALIZATION IN p-ADIC QUANTUM FIELD THEORY

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P-adic quantum field theory

A p-Adic Model of Quantum States and the p-Adic Qubit

WebAbout us. We unlock the potential of millions of people worldwide. Our assessments, publications and research spread knowledge, spark enquiry and aid understanding around the world. WebApr 9, 2024 · perturbative quantum field theory, vacuum effective quantum field theory renormalization BV-BRST formalism geometric ∞-function theory particle physics …

P-adic quantum field theory

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Webof usual quantum theory. We hope also that investigation of p-adic quantum mechanics and field theory will be useful in pure mathematical researches in number theory, representation theory and p-adic analysis. Let us recall here that the quantum-mechanical Weyl representation (see below) has wide applications in number theory and representation ... WebMay 7, 2015 · Covariant string field theory at finite temperature using quantum double (thermofield dynamics) formalism is considered. Thermal p-adic string theory amplitudes and a natural generalization of p-adic string effective action to the case on non-zero temperature are proposed.

WebAbout us. We unlock the potential of millions of people worldwide. Our assessments, publications and research spread knowledge, spark enquiry and aid understanding … WebThis relatively recent theory has become increasingly important in the last decade with exciting applications in a variety of fields, including biology, image analysis, psychology, and information science. p-Adic mathematical physics also plays an important role in quantum mechanics and quantum field theory, the theory of strings, quantum ...

WebThe scalar models ofp-adic quantum field theory and hierarchical model of Dyson, ... Gervais, J. L.:p-adic Analyticity and Virasoro Algebras for Conformal Theories in more than two dimensions, Ecole Normale, Preprint LPTENS 87/32 (1987) Brekke, L., Freund, P. G. O., Olson, M., Witten, E.: Non-Archimedian String Dynamics, University of Chicago ... WebNov 30, 2024 · p -adic analysis and q- calculus encompass several domains in mathematics and physics, including number theory, algebraic geometry, algebraic topology, mathematical analysis, mathematical physics, string theory, field theory, stochastic differential equations, quantum groups, and other parts of the natural sciences.

WebFeb 1, 2024 · The field of p-adic numbers. Throughout this article p will denote a prime number. The field of p-adic numbers Q p is defined as the completion of the field of … tower point labWebp-adic CFT lives in the p-adic number field Q p for any given prime number p, i.e., coordinates x ∈ Q p. p-adic numbers Q p are field extensions of the rational numbers alternative to thereals R. This canbe readily generalized to an n-dimensional p-adic CFT by considering the field extension of Q p to Q pn [21,22]. To avoid clutter we will ... power automotive 18932 soledad cyn rdWebJun 26, 2000 · p-Adic generalization of the Feynman path integrals in quantum mechanics is considered. The probability amplitude for a particle in a constant field is calculated. Path integrals over... tower point heb college stationWebThe quadratic map over p -adic numbers is studied in some detail. We prove that near almost all indifferent fixed points it is topologically conjugate to a quasiperiodic linear map. We also establish the existence of chaotic behavior and describe it using symbolic dynamics. Download to read the full article text. power automation analytics businessWebJul 28, 2024 · where G l = Z p /p l Z p ≃ Z /p l Z is the additive group of the integers modulo p l, and φ = [ φ i ] i ∈ G l . W e identify the elements of G l with integers of the for m i = i 0 + i 1 p towerpoint homes for salep-adic quantum mechanics is a collection of related research efforts in quantum physics that replace real numbers with p-adic numbers. Historically, this research was inspired by the discovery that the Veneziano amplitude of the open bosonic string, which is calculated using an integral over the real numbers, … See more • P-adic analysis § P-adic quantum mechanics See more • p-adic physics at the nLab See more power autonationWebInternational Conference on the mathematical problems of quantum field theory and quantum statistical mechanics. 2 Bände. Proceedings Steklow Institute 1978. Generalized functions in mathematical physics. ... E. Zelenov: p-adic analysis and mathematical physics. World Scientific 1994. Methods of the theory of generalized functions. Taylor and ... towerpoint investments llc