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We study properties of a scalar quantum field theory on two-dimensional noncommutative space-times. Contrary to the common belief that noncommutativity of space-time would be a key to remove the ultraviolet divergences, we show that field…

高能物理 - 理论 · 物理学 2007-05-23 M. Chaichian , A. Demichev , P. Presnajder

In this talk I briefly review recent developments in quantum field theories on a noncommutative Euclidean space, with Heisenberg-like commutation relations between coordinates. I will be concentrated on new physics learned from this…

高能物理 - 理论 · 物理学 2007-05-23 Yong-Shi Wu

We review the generalization of field theory to space-time with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and…

高能物理 - 理论 · 物理学 2009-09-25 Michael R. Douglas , Nikita A. Nekrasov

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…

高能物理 - 理论 · 物理学 2009-11-07 Andrew J. Tolley , Neil Turok

A noncommutative and non-anticommutative quantum field theory is formulated in a superspace, in which the superspace coordinates satisfy noncommutative and non-anticommutative relations. A perturbative scalar field theory is investigated in…

高能物理 - 理论 · 物理学 2009-10-31 J. W. Moffat

We discuss some aspects of noncommutative quantum field theories obtained from the Seiberg-Witten limit of string theories in the presence of an external B-field. General properties of these theories are studied as well as the…

高能物理 - 理论 · 物理学 2008-11-26 L. Alvarez-Gaume , M. A. Vazquez-Mozo

Noncommutative field theories are a class of theories beyond the standard model of elementary particle physics. Their importance may be summarized in two facts. Firstly as field theories on noncommutative spacetimes they come with natural…

高能物理 - 理论 · 物理学 2010-12-24 Earnest Akofor

The quantum theory of fields is largely based on studying perturbations around non-interacting, or free, field theories, which correspond to a collection of quantum-mechanical harmonic oscillators. The quantum theory of an ordinary fluid is…

高能物理 - 理论 · 物理学 2015-04-24 Ben Gripaios , Dave Sutherland

In modern quantum information theory one deals with an idealized situation when the spacetime dependence of quantum phenomena is neglected. However the transmission and processing of (quantum) information is a physical process in spacetime.…

量子物理 · 物理学 2016-09-08 Igor V. Volovich

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…

高能物理 - 理论 · 物理学 2008-11-26 Tomasz R. Taylor

We advocate that the dual picture of spacetime noncommutativity , i.e. the existence of a curved momentum space, could be a way out to solve some of the open conceptual problems in the field, such as the basis dependence of observables. In…

综合物理 · 物理学 2025-12-10 S. A. Franchino-Viñas

For classical field theories with probabilistic initial conditions the classical field observables are an idealization. Their arbitrarily precise values poorly reflect the characteristic uncertainty in the presence of substantial…

量子物理 · 物理学 2026-03-06 Christof Wetterich

A general formulation of classical relativistic particle mechanics is presented, with an emphasis on the fact that superluminal velocities and nonlocal interactions are compatible with relativity. Then a manifestly relativistic-covariant…

高能物理 - 理论 · 物理学 2019-11-19 H. Nikolic

It is shown that loop divergences emerging in the Green functions in quantum field theory originate from correspondence of the Green functions to {\em unmeasurable} (and hence unphysical) quantities. This is because no physical quantity can…

高能物理 - 理论 · 物理学 2013-05-08 M. V. Altaisky

Quantum field theory (QFT) in classical spacetime has revealed interesting and puzzling aspects about gravitational systems, in particular black hole thermodynamics and its information processing. Although quantum gravitational effects may…

量子物理 · 物理学 2018-05-24 Ding Jia

Modern quantum information theory deals with an idealized situation when the spacetime dependence of quantum phenomena is neglected. However the transmission and processing of (quantum) information is a physical process in spacetime.…

量子物理 · 物理学 2007-05-23 Igor V. Volovich

It is a maxim often stated, yet rarely illustrated, that the combination of special relativity and quantum mechanics necessarily leads to quantum field theory. An elementary illustration is provided, using the familiar particle in a box,…

综合物理 · 物理学 2013-06-04 Amar C. Vutha

We suggest that in the proper definition, Quantum Field Theories are quantum mechanical system which 'live' on the space of causal structures ${\cal C}$ of spacetime. That is, for any QFT a Hilbert space ${\cal H}$ on which local operators…

高能物理 - 理论 · 物理学 2016-01-29 Denis Bashkirov

Quantum fields are shown to provide an example of infinite-dimensional quantum groups. A dictionary is established between quantum field and quantum group concepts: the expectation value over the vacuum is the counit, Wick's theorem is the…

高能物理 - 唯象学 · 物理学 2007-05-23 Christian Brouder , Robert Oeckl

A quantum scalar field theory with spacetime-dependent coupling is studied. Surprisingly, while translation invariance is explicitly broken in the classical theory, momentum conservation is recovered at the quantum level for some specific…

高能物理 - 理论 · 物理学 2014-01-29 Gianluca Calcagni , Giuseppe Nardelli
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