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Loop corrections to finite-time correlation functions in quantum field theories away from equilibrium can be calculated using the in-in path integral approach. In this paper, we calculate the unequal-time two-point correlator for different…

High Energy Physics - Theory · Physics 2023-03-07 Spasen Chaykov , Nishant Agarwal , Sina Bahrami , R. Holman

We consider a massless and minimally coupled self interacting quantum scalar field theory in the inflationary de Sitter background of dimension four. The self interaction potential is taken to be either quartic, $\lambda \phi^4/4!$, or…

High Energy Physics - Theory · Physics 2024-08-13 Sourav Bhattacharya , Sudesh Kumar

Correlation functions of light scalar fields in de Sitter spacetime, computed via standard perturbation theory, often exhibit secular growth characterized by time-dependent divergent terms in the form of powers of $\ln a(t)$, where $a(t)$…

High Energy Physics - Theory · Physics 2025-01-06 Javier Huenupi , Ellie Hughes , Gonzalo A. Palma , Spyros Sypsas

We investigate the relation between the time-ordered vacuum correlation functions for interacting real scalar fields in Minkowski spacetime and in the Rindler wedge. The correlation functions are constructed perturbatively within the in-in…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Atsushi Higuchi , William C. C. Lima

We show that Minkowski higher-derivative quantum field theories are generically inconsistent, because they generate nonlocal, non-Hermitian ultraviolet divergences, which cannot be removed by means of standard renormalization procedures. By…

High Energy Physics - Theory · Physics 2017-02-13 Ugo G. Aglietti , Damiano Anselmi

A large mass expansion of the one-loop effective action of a scalar field on the two-dimensional Minkowski spacetime is found in the system of coordinates, where the metric $g_{\mu\nu}(t,x)\neq\eta_{\mu\nu}=diag(1,-1)$, and…

High Energy Physics - Theory · Physics 2016-02-01 P. O. Kazinski , V. D. Miller

In this article an energy correction is calculated in the time independent perturbation setup using a regularised ultraviolet finite Hamiltonian on the noncommutative Minkowski space. The correction to the energy is invariant under rotation…

High Energy Physics - Theory · Physics 2008-11-26 Marcel Kossow

Treating the two-dimensional Minkowski space as a Wick rotated version of the complex plane, we characterize the causal automorphisms in two-dimensional Minkowski space as the M\"{a}rzke-Wheeler maps of a certain class of observers. We also…

Mathematical Physics · Physics 2015-06-15 Juan Manuel Burgos

We establish the linear instability of the semiclassical Einstein-Klein-Gordon system linearised about the Minkowski vacuum spacetime. The proof relies on formulating a forcing problem for both metric and state perturbations within the…

Mathematical Physics · Physics 2026-04-02 Stefano Galanda , Paolo Meda , Simone Murro , Nicola Pinamonti , Gabriel Schmid

Perturbative master equations are essential for modeling open quantum systems but often exhibit late-time divergences when environmental correlations decay algebraically. In this work, we analyze the time-convolutionless (TCL) master…

Two-point correlators and self-correlators of primordial perturbations in quasi-de Sitter spacetime backgrounds are considered. For large separations two-point correlators exhibit nearly scale invariance, while for short distances…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Adrian del Rio , Jose Navarro-Salas

We address the problem of deriving the post-Minkowskian approximation, widely used in current gravitational wave literature by investigating a possible deduction out of the recursive N\"other coupling approach, from the Pauli-Fierz spin-2…

General Relativity and Quantum Cosmology · Physics 2020-10-21 Soumendra Kishore Roy , Ratna Koley , Parthasarathi Majumdar

For a long time, the predictive limits of perturbative quantum field theory have been limited by our inability to carry out loop calculations to arbitrarily high order, which become increasingly complex as the order of perturbation theory…

High Energy Physics - Theory · Physics 2020-07-01 L. T. Giorgini , U. D. Jentschura , E. M. Malatesta , G. Parisi , T. Rizzo , J. Zinn-Justin

We reassess the problem of symmetry restoration induced by observers' acceleration within the context of interacting quantum field theories in Minkowski spacetime. We argue that the imposition of a frame-independent renormalization…

High Energy Physics - Theory · Physics 2024-05-21 Domenico Giuseppe Salluce , Marco Pasini , Antonino Flachi , Antonio Pittelli , Stefano Ansoldi

We construct an complex scalar field theory in $\kappa$-Minkowksi spacetime, which respects $\kappa$-deformed Poincar\'e symmetry. One-loop calculation shows that the theory is finite and needs finite renormalization to be compatible with…

High Energy Physics - Theory · Physics 2008-02-27 Chaiho Rim

The Riemann correlator with appropriately raised indices characterizes in a gauge-invariant way the quantum metric fluctuations around de Sitter spacetime including loop corrections from matter fields. Specializing to conformal fields and…

General Relativity and Quantum Cosmology · Physics 2014-08-01 Markus B. Fröb , Albert Roura , Enric Verdaguer

We provide a definitive treatment, including sharp decay and the precise late-time asymptotic profile, for generic solutions of linear wave equations with a (singular) inverse-square potential in (3+1)-dimensional Minkowski spacetime. Such…

Analysis of PDEs · Mathematics 2024-01-25 Dejan Gajic , Maxime Van de Moortel

Minkowski space is a physically important space-time for which the finding an adequate holographic description is an urgent problem. In this paper we develop further the proposal made in hep-th/0303006 for the description as a duality…

High Energy Physics - Theory · Physics 2009-09-29 Sergey N. Solodukhin

We explore the new technique developed recently in \cite{Rosenhaus:2014woa} and suggest a correspondence between the $N$-point correlation functions on spacetime with conical defects and the $(N+1)$-point correlation functions in regular…

High Energy Physics - Theory · Physics 2015-06-19 Michael Smolkin , Sergey N. Solodukhin

We derive the quantum effective action up to second order in gradients and up to two-loop order for an interacting scalar field theory. This expansion of the effective action is useful to study problems in cosmological settings where…

High Energy Physics - Theory · Physics 2024-09-17 Sofia Canevarolo , Tomislav Prokopec
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