scholarly journals A quest for a “direct” observation of the Unruh effect with classical electrodynamics: In honor of Atsushi Higuchi 60th anniversary

2018 ◽  
Vol 27 (11) ◽  
pp. 1843008 ◽  
Author(s):  
Gabriel Cozzella ◽  
André G. S. Landulfo ◽  
George E. A. Matsas ◽  
Daniel A. T. Vanzella
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Direct Observation ◽  
Linear Acceleration ◽  
Classical Electrodynamics ◽  
Unruh Effect ◽  
Quantum Field ◽  
Simple Experiment ◽  
60Th Anniversary ◽  
Accelerated Frames

The Unruh effect is essential to keep the consistency of quantum field theory in inertial and uniformly accelerated frames. Thus, the Unruh effect must be considered as well-tested as quantum field theory itself. In spite of it, it would be nice to realize an experiment whose output could be directly interpreted in terms of the Unruh effect. This is not easy because the linear acceleration needed to reach a temperature of 1[Formula: see text]K is of order [Formula: see text]. We discuss here a conceptually simple experiment reachable under present technology, which may accomplish this goal. The inspiration for this proposal can be traced back to Atsushi Higuchi’s Ph.D. thesis, which makes it particularly suitable to pay tribute to him on occasion of his [Formula: see text]th anniversary.

scholarly journals A Physically-Motivated Quantisation of the Electromagnetic Field on Curved Spacetimes

Entropy ◽  
2019 ◽  
Vol 21 (9) ◽  
pp. 844
Author(s):  
Ben Maybee ◽  
Daniel Hodgson ◽  
Almut Beige ◽  
Robert Purdy
Keyword(s):  
Magnetic Field ◽  
Field Theory ◽  
Quantum Field Theory ◽  
Electromagnetic Field ◽  
Minkowski Space ◽  
Unruh Effect ◽  
Quantum Field ◽  
Rindler Space ◽  
Electric And Magnetic Field ◽  
Curved Spacetimes

Recently, Bennett et al. (Eur. J. Phys. 37:014001, 2016) presented a physically-motivated and explicitly gauge-independent scheme for the quantisation of the electromagnetic field in flat Minkowski space. In this paper we generalise this field quantisation scheme to curved spacetimes. Working within the standard assumptions of quantum field theory and only postulating the physicality of the photon, we derive the Hamiltonian, H ^ , and the electric and magnetic field observables, E ^ and B ^ , respectively, without having to invoke a specific gauge. As an example, we quantise the electromagnetic field in the spacetime of an accelerated Minkowski observer, Rindler space, and demonstrate consistency with other field quantisation schemes by reproducing the Unruh effect.

scholarly journals Classical simulation of quantum fields I

2006 ◽  
Vol 84 (10) ◽  
pp. 861-877 ◽  
Author(s):  
T Hirayama ◽  
B Holdom
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Zero Point ◽  
Background Field ◽  
Field Configuration ◽  
Classical Electrodynamics ◽  
Quantum Field ◽  
Point Energy ◽  
Classical Simulation ◽  
Feynman Rules

We study classical field theories in a background field configuration where all modes of the theory are excited, matching the zero-point energy spectrum of quantum field theory. Our construction involves elements of a theory of classical electrodynamics by Wheeler–Feynman and the theory of stochastic electrodynamics of Boyer. The nonperturbative effects of interactions in these theories can be very efficiently studied on the lattice. In [Formula: see text] theory in 1 + 1 dimensions, we find results, in particular, for mass renormalization and the critical coupling for symmetry breaking that are in agreement with their quantum counterparts. We then study the perturbative expansion of the n-point Green's functions and find a loop expansion very similar to that of quantum field theory. When compared to the usual Feynman rules, we find some differences associated with particular combinations of internal lines going on-shell simultaneously. PACS Nos.: 03.70.+k, 03.50.–z, 11.15.Tk

Electrodynamics

2018 ◽  
Author(s):  
James T. Cushing
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Mechanics ◽  
Physical Theory ◽  
Special Theory ◽  
Classical Electrodynamics ◽  
Quantum Field ◽  
Theory Of Relativity ◽  
Electric And Magnetic Fields ◽  
Fundamental Physical

Electric charges interact via the electric and magnetic fields they produce. Electrodynamics is the study of the laws governing these interactions. The phenomena of electricity and of magnetism were once taken to constitute separate subjects. By the beginning of the nineteenth century they were recognized as closely related topics and by the end of that century electromagnetic phenomena had been unified with those of optics. Classical electrodynamics provided the foundation for the special theory of relativity, and its unification with the principles of quantum mechanics has led to modern quantum field theory, arguably our most fundamental physical theory to date.

scholarly journals Matter-antimatter asymmetry and non-inertial effects

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
V. M. G. Silveira ◽  
C. A. Z. Vasconcellos ◽  
E. G. S. Luna ◽  
D. Hadjimichef
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Unruh Effect ◽  
Quantum Field ◽  
Inertial Effects ◽  
Curved Spacetimes ◽  
Thermal Phenomena ◽  
The Relationship ◽  
Very High ◽  
Accelerated Particles

Abstract We investigate non-inertial effects on CP-violating processes using a model, based on the framework of quantum field theory in curved spacetimes, devised to account for the decay of accelerated particles. We show that the CP violation parameter for the decay of accelerated kaons into two pions decreases very slightly as very high accelerations are achieved, implying decreased asymmetry between matter and antimatter in this regime. We discuss the relationship between these results and cosmological processes surrounding matter-antimatter asymmetry and argue that, due to the connection between non-inertial and thermal phenomena established by the Unruh effect, this kind of computation may prove useful in furthering the understanding of thermodynamical effects in curved spacetimes.

Fulling Non‐uniqueness and the Unruh Effect: A Primer on Some Aspects of Quantum Field Theory

2003 ◽  
Vol 70 (1) ◽  
pp. 164-202 ◽  
Author(s):  
Aristidis Arageorgis ◽  
John Earman ◽  
Laura Ruetsche
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Unruh Effect ◽  
Quantum Field

scholarly journals Localization in quantum field theory

2017 ◽  
Vol 14 (08) ◽  
pp. 1740008 ◽  
Author(s):  
A. P. Balachandran
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Wave Function ◽  
Black Hole Physics ◽  
Relativistic Quantum ◽  
Relativistic Quantum Mechanics ◽  
Unruh Effect ◽  
Quantum Field ◽  
Simple Derivation ◽  
Spatial Region

In non-relativistic quantum mechanics, Born’s principle of localization is as follows: For a single particle, if a wave function [Formula: see text] vanishes outside a spatial region [Formula: see text], it is said to be localized in [Formula: see text]. In particular, if a spatial region [Formula: see text] is disjoint from [Formula: see text], a wave function [Formula: see text] localized in [Formula: see text] is orthogonal to [Formula: see text]. Such a principle of localization does not exist compatibly with relativity and causality in quantum field theory (QFT) (Newton and Wigner) or interacting point particles (Currie, Jordan and Sudarshan). It is replaced by symplectic localization of observables as shown by Brunetti, Guido and Longo, Schroer and others. This localization gives a simple derivation of the spin-statistics theorem and the Unruh effect, and shows how to construct quantum fields for anyons and for massless particles with “continuous” spin. This review outlines the basic principles underlying symplectic localization and shows or mentions its deep implications. In particular, it has the potential to affect relativistic quantum information theory and black hole physics.

scholarly journals THE FULLING–DAVIES–UNRUH EFFECT IS MANDATORY: THE PROTON'S TESTIMONY

2002 ◽  
Vol 11 (10) ◽  
pp. 1573-1577 ◽  
Author(s):  
GEORGE E. A. MATSAS ◽  
DANIEL A. T. VANZELLA
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Confidence Level ◽  
Unruh Effect ◽  
Quantum Field ◽  
Standard Quantum ◽  
Accelerated Protons

We discuss the decay of accelerated protons and illustrate how the Fulling–Davies–Unruh effect is indeed mandatory to maintain the consistency of standard Quantum Field Theory. The confidence level of the Fulling–Davies–Unruh effect must be the same as that of Quantum Field Theory itself.

scholarly journals Holography in a background-independent effective theory

2015 ◽  
Vol 12 (07) ◽  
pp. 1550075
Author(s):  
Giorgio Torrieri
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Partition Function ◽  
Equivalence Principle ◽  
Degrees Of Freedom ◽  
Functional Integral ◽  
Effective Theory ◽  
Quantum Field ◽  
Strong Equivalence Principle ◽  
Accelerated Frames

We discuss the meaning of the strong equivalence principle when applied to a quantum field theory. We show that, because of unitary inequivalence of accelerated frames, the only way for the strong equivalence principle to apply exactly is to add a boundary term representing the decoherence of degrees of freedom leaving the observable region of the bulk. We formulate the constraints necessary for the partition function to be covariant with respect to non-inertial transformations and argue that, when the non-unitary part is expressed as a functional integral over the horizon, holography arises naturally as a consequence of the equivalence principle.

scholarly journals Classical Simulations of Quantum Field Theory in Curved Spacetime I: Fermionic Hawking-Hartle Vacua from a Staggered Lattice Scheme

Quantum ◽  
2020 ◽  
Vol 4 ◽  
pp. 351
Author(s):  
Adam G. M. Lewis ◽  
Guifré Vidal
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Unruh Effect ◽  
Dirac Fermions ◽  
Quantum Field ◽  
De Sitter ◽  
Curved Spacetime ◽  
Expectation Values ◽  
Sitter Spacetime ◽  
The Continuum

We numerically compute renormalized expectation values of quadratic operators in a quantum field theory (QFT) of free Dirac fermions in curved two-dimensional (Lorentzian) spacetime. First, we use a staggered-fermion discretization to generate a sequence of lattice theories yielding the desired QFT in the continuum limit. Numerically-computed lattice correlators are then used to approximate, through extrapolation, those in the continuum. Finally, we use so-called point-splitting regularization and Hadamard renormalization to remove divergences, and thus obtain finite, renormalized expectation values of quadratic operators in the continuum. As illustrative applications, we show how to recover the Unruh effect in flat spacetime and how to compute renormalized expectation values in the Hawking-Hartle vacuum of a Schwarzschild black hole and in the Bunch-Davies vacuum of an expanding universe described by de Sitter spacetime. Although here we address a non-interacting QFT using free fermion techniques, the framework described in this paper lays the groundwork for a series of subsequent studies involving simulation of interacting QFTs in curved spacetime by tensor network techniques.

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