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We develop a prequantum classical statistical model in that the role of hidden variables is played by classical (vector) fields. We call this model Prequantum Classical Statistical Field Theory (PCSFT). The correspondence between classical…

Quantum Physics · Physics 2007-05-23 Andrei Khrennikov

Non-relativistic charged particles and strings coupled with abelian gauge fields are quantized in a geometric representation that generalizes the Loop Representation. We consider three models: the string in self-interaction through a…

High Energy Physics - Theory · Physics 2009-11-10 P. J. Arias , E. Fuenmayor , Lorenzo Leal

Quantum Field Theory with fields as Operator Valued Distributions with adequate test functions, -the basis of Epstein-Glaser approach known now as Causal Perturbation Theory-, is recalled. Its recent revival is due to new developments in…

Mathematical Physics · Physics 2007-05-23 Pierre Ca Grange , Ernst Werner

String Theory is the result of the conjunction of three conceptually independent elements: (i) the metaphysical idea of a nomological unity of the forces, (ii) the model-theoretical paradigm of Quantum Field Theory, and (iii) the conflict…

General Physics · Physics 2011-01-05 Reiner Hedrich

There are still no interacting models of the Wightman axioms, suggesting that the axioms are too tightly drawn. Here a weakening of linearity for quantum fields is proposed, with the algebra still linear but with the quantum fields no…

Quantum Physics · Physics 2007-05-23 Peter Morgan

The unitary S-matrix for the space-time non-commutative QED is constructed using the $\star$-time ordering which is needed in the presence of derivative interactions. Based on this S-matrix, perturbation theory is formulated and Feynman…

High Energy Physics - Theory · Physics 2007-05-23 Chaiho Rim , Jae Hyung Yee

We show that the `dressing' approach, which describes physical charges as gauge invariant composites of matter and clouds of gauge bosons, arises naturally in gauge theories. We give perturbative examples of dressings for both asymptotic…

High Energy Physics - Phenomenology · Physics 2014-11-20 Anton Ilderton , Martin Lavelle , David McMullan

An effective quantum field theory description of graphene in the ultra-relativistic regime is given by reduced QED aka. pseudo QED aka. mixed-dimensional QED. It has been speculated in the literature that reduced QED constitutes an example…

High Energy Physics - Theory · Physics 2019-03-06 D. Dudal , A. J. Mizher , P. Pais

We introduce the framework of Quantum Field Theories in general backgrounds through the lens of the path integral, in the formulation known as the Functorial QFT. With the aim of studying properties of strongly coupled QFTs, we present key…

High Energy Physics - Theory · Physics 2026-05-07 Jonáš Dujava

We review the status of (scalar) quantum field theory on curved spacetimes using a novel formulation in terms of non linear functionals over the smooth configuration fields. In particular, this entails also a new foundation of locally…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Romeo Brunetti , Klaus Fredenhagen

The adaptation of the Kramers-Kronig dispersion relations to the causal localization structure of QFT led to an important project in particle physics, the only one with a successful closure. The same cannot be said about the subsequent…

Mathematical Physics · Physics 2015-05-27 Bert Schroer

One proposal for deriving effective cosmological models from theories of quantum gravity is to view the former as a mean-field (hydrodynamic) description of the latter, which describes a universe formed by a 'condensate' of quanta of…

General Relativity and Quantum Cosmology · Physics 2015-08-12 Steffen Gielen

Gauge theories have been a cornerstone of the description of the world at the level of the fundamental particles. The Lagrangian or the action describing the corresponding interactions is invariant under certain gauge transformations. This…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Bashir , A. Raya

We investigate the application of conformable derivatives to model critical phenomena near continuous phase transitions. By incorporating a deformation parameter into the differential structure, we derive unified expressions for…

Statistical Mechanics · Physics 2026-01-13 José Weberszpil , Ralf Metzler

We observe dressed states and quantum interference effects in a strongly driven three-level quantum dot ladder system. The effect of a strong coupling field on one dipole transition is measured by a weak probe field on the second dipole…

Materials Science · Physics 2009-11-13 B. D. Gerardot , D. Brunner , P. A. Dalgarno , K. Karrai , A. Badolato , P. M. Petroff , R. J. Warburton

Recently, quantum entanglement has been presented as a cohomological obstruction to reconstructing a global quantum state from locally compatible information, where sheafification provides a functor that is forgetful with regards to…

Quantum Physics · Physics 2026-01-21 Kazuki Ikeda , Steven Rayan

The dual Dyson series [M.Frasca, Phys. Rev. A {\bf 58}, 3439 (1998)], is used to develop a general perturbative method for the study of atom-field interaction in quantum optics. In fact, both Dyson series and its dual, through…

Quantum Physics · Physics 2009-10-31 Marco Frasca

The structure of quantum interactions with fields of helicity two ("gravitons") is strongly constrained by three principles: positivity (Hilbert space), covariance, and locality of observables. To fulfil them simultaneously, some…

High Energy Physics - Theory · Physics 2023-09-06 Christian Gaß , José M. Gracia-Bondía , Karl-Henning Rehren

We consider supersymmetric conformal quantum field theories (SCFTs) with degrees of freedom labeled by lattice data. We will assume that in terms of the corresponding lattice the interactions are nearest neighbor and exactly marginal. For…

High Energy Physics - Theory · Physics 2025-02-21 Shlomo S. Razamat , Michal Shemesh , Aelly Zeltzer

It is argued that the dynamics of an isolated system, due to the concrete procedure by which it is separated from the environment, has a non-Hamiltonian contribution. By a unified quantum field theoretical treatment of typical subdynamics,…

Quantum Physics · Physics 2007-05-23 L. Lanz , O. Melsheimer , B. Vacchini