P-adic quantum field theory

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August undefined, 2024

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, … WebAbout us. We unlock the potential of millions of people worldwide. Our assessments, publications and research spread knowledge, spark enquiry and aid understanding …

Axioms Special Issue : p-adic Analysis and q-Calculus with Their ...

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. … WebLately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small... hollow knight lar dos deuses

THE WAVE FUNCTION OF THE UNIVERSE AND p-ADIC GRAVITY

WebJun 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... Webp-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 ... WebJul 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 hollow knight my blessing

Theory p adic distributions linear and nonlinear models Abstract ...

Euclidean Quantum Field Formulation of p-Adic open …

P-adic quantum mechanics is a relatively recent approach to understanding the nature of fundamental physics. It is the application of p-adic analysis to quantum mechanics. The p-adic numbers are an intuitive arithmetic system (but geometrically counterintuitive) that was discovered by German mathematician Kurt Hensel in about 1899 and by German mathematician Ernst Kummer(1810-1893) earlier in elementary form. The closely related adeles and ideles were i… WebSep 18, 2024 · In p -adic field theory, coordinates/momenta and wave functions take values in different number fields, making certain construction normally used to describe RG … hollow letters hobby lobbyWebSep 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 … hollow knight leaping husk

"WebAug 1, 2024 · In this way we construct a p-adic quantum mechanics which is a p-deformed quantum mechanics. We also solve the time-independent Schrödinger equations for the … " - P-adic quantum field theory

P-adic quantum field theory

On finite-temperature string field theory and p -adic string - Springer

WebThe p -adic quantum mechanics is also formulated by means of probability measures over the space of generalized functions. This theory obeys an unusual property: the … p-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

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Web2024 Speakers. Harald Atmanspacher is an emeritus member of the Turing Center at ETH Zurich. As a theoretical physicist with more than three decades of experience in … WebOct 1, 2005 · A simplified model of tachyon matter in classical and quantum mechanics is constructed. p-Adic path integral quantization of the model is considered. Recent results in using p-adic analysis,...

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 … WebApr 6, 2024 · a quantum ﬁeld theory over p-adic numbers is the lack of well-deﬁned space-time sig- nature that makes the very concept of Lorentzian or Euclidean symmetry poorly de- ﬁned. Pragmatically...

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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, …

WebInternational 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 ... hollow knight pale championWebNov 21, 2011 · A version of p-adic perturbative Euclidean quantum field theory is presented. It is based on a new type of the propagator which happens to be rather natural for p-adic space-time. hollow knight main theme sheet music violinWebThe 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. hollow knight hornet humanWeb3 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 … hollow knight silksong announcement dateWebThe 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 ... hollow knight multiplayer mod scarabWebDec 31, 2024 · We propose a model of a quantum N-dimensional system (quNit) based on a quadratic extension of the non-Archimedean field of p-adic numbers. As in the standard … hollow knight salubra locationWebFeb 8, 2024 · In the p-adic framework, there is a natural method to discretize SFTs. Each discrete SFT corresponds to a Boltzmann machine (BM) with a tree-like topology. This method allows us to recover the standard DBMs and gives new convolutional DBMs. The new networks use O (N) parameters while the classical ones use O (N^ {2}) parameters. … hollow knight pantheon of the sage