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We investigate when temporal ordering becomes operationally meaningful in relativistic quantum field theory using localized detector models. A time parameter alone does not ensure that different sequences of operations are physically…

Quantum Physics · Physics 2026-04-29 Marcello Rotondo

The spacetime dependence of the inverse temperature four-vector $\boldsymbol{\beta}$ for certain states of the quantized Klein-Gordon field on (parts of) Minkowski spacetime is discussed. These states fulfill a recently proposed version of…

Mathematical Physics · Physics 2016-09-26 Michael Gransee

We evaluate the vacuum entanglement entropy across a cut of future null infinity for free Maxwell theory in four-dimensional Minkowski spacetime. The Weyl invariance of 4D Maxwell theory allows us to embed the Minkowski spacetime inside the…

High Energy Physics - Theory · Physics 2025-02-11 Hong Zhe Chen , Robert C. Myers , Ana-Maria Raclariu

Without a complete theory of quantum gravity, the question of how quantum fields and quantum particles behave in a superposition of spacetimes seems beyond the reach of theoretical and experimental investigations. Here we use an extension…

Similarly to the well-known phenomenon of particle / anti-particle pair production in strong electromagnetic fields (the Schwinger effect), the na\"ive matter field vacuum state can be excited by time-dependent, curved spacetime geometries.…

High Energy Physics - Theory · Physics 2026-02-11 Mohammed Alkhateeb , James P. Edwards , Yves Caudano

The nonlinear time evolution of the quantum fields is studied in the O(N) model for large N in a radiation dominated FRW universe, with a view towards the phenomenon of explosive particle production due to either spinodal instabilities or…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Boyanovsky , D. Cormier , H. J. de Vega , R. Holman , A. Singh , M. Srednicki

We argue that a uniform acceleration of matter produces an effect similar to cooling, thus leading, in particular, to the enhancement effect of spontaneous symmetry breaking. This conclusion is supported by the observation by Unruh and…

High Energy Physics - Theory · Physics 2025-01-28 Maxim N. Chernodub

We proof that if we have a thermal equilibrium state on Minkowski spacetime in two dimensions then we have a thermal equilibrium state on the cylindrical spacetime obtained from this Minkowski spacetime by making 2\pi-periodic the spatial…

Mathematical Physics · Physics 2012-09-21 L. Ortíz

Recent developments in gravitation theory indicate that the classic general relativity is an effective macroscopic theory which will be eventually replaced with a more fundamental theory based on thermodynamics of yet unknown microscopic…

Optics · Physics 2017-03-09 Igor I. Smolyaninov

A uniformly accelerating observer perceives the Minkowski vacuum state as a thermal bath of radiation. We point out that this field-theory effect can be derived, for any dimension higher than two, without actually invoking very high energy…

High Energy Physics - Theory · Physics 2008-11-26 I. Agullo , J. Navarro-Salas , G. J. Olmo , L. Parker

We revisit the calculation of vacuum entanglement entropy in free Maxwell theory in four-dimensional Minkowski spacetime. Weyl invariance allows for this theory to be embedded as a patch inside the Einstein static universe. We use conformal…

High Energy Physics - Theory · Physics 2024-03-22 Hong Zhe Chen , Robert Myers , Ana-Maria Raclariu

In the celebrated Unruh effect, we learn that a uniformly accelerating detector in a Minkowski vacuum spacetime registers a constant temperature. Building on prior work, we present a technique based on derivative couplings of the two-point…

General Relativity and Quantum Cosmology · Physics 2018-04-19 Aditya Dhumuntarao , José Tomás Gálvez Ghersi , Niayesh Afshordi

In this paper we re-investigate the Bogoliubov transformations which relate the Minkowski inertial vacuum to the vacuum of an accelerated observer. We implement the transformation using a non-unitary operator used in formulations of…

General Relativity and Quantum Cosmology · Physics 2016-01-08 Arundhati Dasgupta

This paper investigates the finite-temperature behavior of Conformal Field Theory (CFT) in Rindler vacuum, focusing on the relation between acceleration and thermality in quantum field theory. We illustrate how uniformly accelerated…

General Relativity and Quantum Cosmology · Physics 2024-10-02 Iftekher S. Chowdhury , Binay Prakash Akhouri , Shah Haque , Eric Howard

Time-evolution of the Universe as described by the Friedmann equation can be coupled to equations of motion of matter fields. Quantum effects may be incorporated to improve these classical equations of motion by the renormalization group…

High Energy Physics - Theory · Physics 2024-10-08 Istvan Gabor Marian , Andrea Trombettoni , Istvan Nandori

The Unruh effect states that a uniformly linearly accelerated observer with proper acceleration $a$ experiences Minkowski vacuum as a thermal state in the temperature $T_{\text{lin}} = a/(2\pi)$, operationally measurable via the detailed…

General Relativity and Quantum Cosmology · Physics 2023-03-28 Steffen Biermann , Sebastian Erne , Cisco Gooding , Jorma Louko , Jörg Schmiedmayer , William G. Unruh , Silke Weinfurtner

When probed with conformally invariant matter fields, light cones in Minkowski spacetime satisfy thermodynamical relations which are the analog of those satisfied by stationary black holes coupled to standard matter fields. These properties…

General Relativity and Quantum Cosmology · Physics 2019-03-20 Tommaso De Lorenzo , Alejandro Perez

We discuss equilibration process in expanding universes as compared to the thermalization process in Minkowski space--time. The final goal is to answer the following question: Is the equilibrium reached before the rapid expansion stops and…

General Relativity and Quantum Cosmology · Physics 2021-07-21 E. T. Akhmedov

We examine the transition probability from the ground state to a final entangled state of a system of uniformly accelerated two-level atoms weakly coupled with a massless scalar field in Minkowski vacuum. Using time-dependent perturbation…

Quantum Physics · Physics 2018-07-12 C. D. Rodríguez-Camargo , N. F. Svaiter , G. Menezes

The Unruh effect predicts that an accelerated observer perceives the Minkowski vacuum as a thermal bath, but its direct observation requires extreme accelerations beyond current experimental reach. Foundational theory [Olson & Ralph, Phys.…

Quantum Physics · Physics 2025-10-29 Zhenghao Luo , Yi Li , Xingyu Zhao , Zihan Xie , Zehua Tian , Yiheng Lin