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We incorporate the concept of dimensional reduction at high energies within the perturbative formulation of quantum field theory. In this new framework, space and momentum integrations are modified by a weighting function incorporating an…

High Energy Physics - Theory · Physics 2023-04-19 Alessio Maiezza , Juan Carlos Vasquez

We address the optimal estimation of quantum parameters, in the framework of local quantum estimation theory, for a massive scalar quantum field in the expanding Robertson-Walker universe exhibiting Lorentz invariance violation (LIV). The…

High Energy Physics - Theory · Physics 2019-06-25 Xiaobao Liu , Zehua Tian , Jieci Wang , Jiliang Jing

We propose a new axiom system for unitary quantum field theories on curved space-time backgrounds, by postulating that the partition function and the correlators extend analytically to a certain domain of complex-valued metrics. Ordinary…

High Energy Physics - Theory · Physics 2021-05-24 Maxim Kontsevich , Graeme Segal

We formulate Noncommutative Qauntum Field Theory in terms of fields defined as mean value over coherent states of the noncommutative plane. No *-product is needed in this formulation and noncommutativity is carried by a modified Fourier…

High Energy Physics - Theory · Physics 2009-11-10 Anais Smailagic , Euro Spallucci

Quantum field theories on noncommutative Minkowski space are studied in a model-independent setting by treating the noncommutativity as a deformation of quantum field theories on commutative space. Starting from an arbitrary Wightman…

Mathematical Physics · Physics 2011-04-14 Harald Grosse , Gandalf Lechner

The study of Finite Size Effects in Quantum Field Theory allows the extraction of precious perturbative and non-perturbative information. The use of scaling functions can connect the particle content (scattering theory formulation) of a QFT…

High Energy Physics - Theory · Physics 2017-08-23 Francesco Ravanini

In the present work we review the twisted field construction of quantum field theory on noncommutative spacetimes based on twisted Poincar\'e invariance. We present the latest development in the field, in particular the notion of…

High Energy Physics - Theory · Physics 2010-06-22 Aiyalam P. Balachandran , Alberto Ibort , Giuseppe Marmo , Mario Martone

The hypothesis of a discrete fabric of the universe--the "Planck scale"--is always on stage, since it solves mathematical and conceptual problems in the infinitely small. However, it clashes with special relativity, which is designed for…

Quantum Physics · Physics 2016-10-26 Alessandro Bisio , Giacomo Mauro D'Ariano , Paolo Perinotti

The success of the S-matrix in quantum field theory in Minkowski spacetime naturally demands the extension of the construction of the S-matrix in a general curved spacetime in a covariant manner. However, it is well-known that a global…

High Energy Physics - Theory · Physics 2021-10-29 Susobhan Mandal , Subhashish Banerjee

Using the Cartan formulation of General Relativity, we construct a well defined lattice-regularized theory capable to describe large non-perturbative quantum fluctuations of the frame field (or the metric) and of the spin connection. To…

High Energy Physics - Theory · Physics 2011-09-02 Dmitri Diakonov

Viable non-perturbative methods for lattice quantum field theories on curved manifolds are difficult. By adapting features from the traditional finite element methods (FEM) and Regge Calculus, a new simplicial lattice Quantum Finite Element…

High Energy Physics - Lattice · Physics 2016-01-08 Richard C. Brower , George Fleming , Andrew Gasbarro , Timothy Raben , Chung-I Tan , Evan Weinberg

We consider quantum field theory in four-dimensional Minkowski spacetime, with the position coordinates represented by twistors instead of the usual world-vectors. Upon imposing canonical commutation relations between twistors and dual…

High Energy Physics - Theory · Physics 2008-11-26 Tomasz R. Taylor

The necessity of rejecting the numerical model of geometrical extension is postulated on the basis of the idea of identity of space-time and physical vacuum. An attempt is made to define space-time not via the concept of manifold, but via…

General Physics · Physics 2009-07-03 G. L. Stavraki

The relativistic conception of space and time is challenged by the quantum nature of physical observables. It has been known for a long time that Poincar\'e symmetry of field theory can be extended to the larger conformal symmetry. We use…

Quantum Physics · Physics 2013-02-27 Marc-Thierry Jaekel , Serge Reynaud

A reformulation of fermionic QFT in electromagnetic backgrounds is presented which uses methods analogous to those of conventional multiparticle quantum mechanics. Emphasis is placed on the (Schr\"odinger picture) states of the system,…

High Energy Physics - Theory · Physics 2009-11-07 Carl E. Dolby , Stephen F. Gull

We consider quantum field theory on a spacetime representing the Big Crunch/Big Bang transition postulated in the ekpyrotic or cyclic cosmologies. We show via several independent methods that an essentially unique matching rule holds…

High Energy Physics - Theory · Physics 2009-11-07 Andrew J. Tolley , Neil Turok

We present a perturbative formulation of quantum gravity for asymptotically flat vacuum spacetimes based on the Null Surface Formulation (NSF), in which the expansion is ultraviolet-finite term by term up to the orders computed, without the…

High Energy Physics - Theory · Physics 2026-05-08 Carlos N. Kozameh , Gerardo O. Depaola

We develop a quantization scheme for the quantum theory of a real scalar field on a class of non-commutative spacetime models collectively known as T-Minkowski. Requiring the theory to be covariant under T-Poincar\'e transformations, we…

High Energy Physics - Theory · Physics 2025-08-07 Giuseppe Fabiano , Flavio Mercati

We argue that for finite energy windows, the final states in gravitational scattering in dimension $d > 4$ are normalizable coherent states in Fock space. However, as the center of the energy window goes to infinity, black hole physics…

High Energy Physics - Theory · Physics 2026-02-17 T. Banks

In the current paper the properties of a birefringent Lorentz-violating extension of quantum electrodynamics is considered. The theory results from coupling modified Maxwell theory, which is a CPT-even Lorentz-violating extension of the…

High Energy Physics - Theory · Physics 2014-09-05 M. Schreck