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Quantum field theory (QFT) on non-stationary spacetimes is well understood from the side of the algebra of observables. The state space, however, is largely unexplored, due to the non-existence of distinguished states (vacuum, scattering…

General Relativity and Quantum Cosmology · Physics 2018-09-25 Klaus Fredenhagen , Thomas-Paul Hack , Nicola Pinamonti

The investigations of the author on a new independent theory of field, termed a vacuum field theory (VFT), have been presented in four publications. It has been based on the axioms for inactivated and activated state of vacuum. An inertial…

General Physics · Physics 2007-05-23 Georgy Kostadinov Gemedjiev

A generalization of the recently formulated nonlinear quantization of a parameterized theory is presented in the context of quantum gravity. The parametric quantization of a Friedmann universe with a massless scalar field is then considered…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Charles Wang

It is well known that a fundamental theorem of Quantum Field Theory (QFT) set in at spacetime ensures the CPT invariance of the theory. This symmetry is strictly connected to the Lorentz covariance, and consequently to the fundamental…

High Energy Physics - Phenomenology · Physics 2021-10-19 Vito Antonelli , Lino Miramonti , Marco Danilo Claudio Torri

For any massless, irreducible representation of the covering of the proper, orthochronous Poincar\'e group we construct covariant, free quantum fields that generate the representation space from the vacuum and are localized in semi-infinite…

Mathematical Physics · Physics 2015-06-03 M. Plaschke , J. Yngvason

We use an extended quantum field theory (EQFT) hep-th/9911168 to explore possible observational effects of the spacetime. It is shown that as it was expected the spacetime foam can provide quantum bose fields with a cutoff at very small…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Kirillov , D. Turaev

These lecture notes provide an elementary introduction to the study of massless integrable quantum field theory in 1+1 dimensions using ``massless scattering''. Some previously unpublished results are also presented, including a…

High Energy Physics - Theory · Physics 2007-05-23 P. Fendley , H. Saleur

A set of diverse but mutually consistent results obtained in different settings has spawned a new view of loop quantum gravity and its physical implications, based on the interplay of operator calculations and effective theory: Quantum…

General Relativity and Quantum Cosmology · Physics 2012-12-27 Martin Bojowald

We present a pedagogical review of certain exact theoretical results concerning the physics of an imaginary world where one quark or more are deprived of their masses.

High Energy Physics - Theory · Physics 2026-05-21 A. V. Smilga

We offer a perspective on some recent results obtained in the context of the group field theory approach to quantum gravity, on top of reviewing them briefly. These concern a natural mechanism for the emergence of non-commutative field…

High Energy Physics - Theory · Physics 2009-07-24 Daniele Oriti

A condition on a set of truncated Wightman functions is formulated and shown to permit the construction of the Hilbert space structure included in the Morchio--Strocchi modified Wightman axioms. The truncated Wightman functions which are…

Mathematical Physics · Physics 2009-11-10 S. Albeverio , H. Gottschalk , J. -L. Wu

We formulate a new concept of asymptotic completeness for two-dimensional massless quantum field theories in the spirit of the theory of particle weights. We show that this concept is more general than the standard particle interpretation…

Mathematical Physics · Physics 2013-09-04 Wojciech Dybalski , Yoh Tanimoto

We develop the computational framework for gravitational wave - black hole scattering in worldline quantum field theory (WQFT) without spin. Crucially, we prove on general grounds that, in the absence of dissipation, the exponential…

High Energy Physics - Theory · Physics 2026-02-23 Yilber Fabian Bautista , Mathias Driesse , Kays Haddad , Gustav Uhre Jakobsen

As an example of the unification of gravitation and particle physics, an exact solution of the five-dimensional field equations is studied which describes waves in the classical Einstein vacuum. While the solution is essentially 5D in…

General Physics · Physics 2015-06-12 Paul S. Wesson

We show that many well-known quantum field theories emerge as representations of a single $^\ast$-algebra. These include free quantum field theories in flat and curved space-times, lattice quantum field theories, Wightman quantum field…

Mathematical Physics · Physics 2013-10-22 Andreas Raab

We present a construction of the algebra of operators and the Hilbert space for a quantum massless field in 1+1 dimensions.

Mathematical Physics · Physics 2008-11-26 Jan Derezi{ń}ski , Krzysztof A. Meissner

We examine quantum field theory in spacetimes that are time nonorientable but have no other causal pathology. These are Lorentzian universes-from-nothing, spacetimes with a single spacelike boundary that nevertheless have a smooth…

General Relativity and Quantum Cosmology · Physics 2011-07-19 John L. Friedman , Atsushi Higuchi

We construct the classical and canonically quantized theories of a massless scalar field on a background lattice in which the number of points--and hence the number of modes--may grow in time. To obtain a well-defined theory certain…

High Energy Physics - Theory · Physics 2009-11-10 Brendan Z. Foster , Ted Jacobson

We suppose that there are both particles with negative energies described by L_{W} and particles with positive energies described by L_{F}, L_{W} and L_{F} are independent of each other before quantization, dependent on each other after…

High Energy Physics - Theory · Physics 2007-05-23 Shi-Hao Chen

We formulate quantum field theory in triangulated spacetime using compositional quantum field theory and tensor network methods. We show that gravitational interactions emerge as a low-energy effective phenomenon in this framework. For…

High Energy Physics - Theory · Physics 2025-05-13 Matti Raasakka
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