Nonuniqueness of Canonical Field Quantization in Riemannian Space-Time

Fulling, S. A.

doi:10.1103/physrevd.7.2850

Cited by 945 publications

(955 citation statements)

References 32 publications

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“…However, this is no longer true in quantum theory since entanglement and tunneling across the horizon can lead to nontrivial effects [9]. This is obvious in the study of quantum field theory in a spacetime partitioned by a horizon.…”

Section: Observers and Their Horizonsmentioning

confidence: 96%

Holographic gravity and the surface term in the Einstein-Hilbert action

Padmanabhan¹

2005

Braz. J. Phys.

127

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Certain peculiar features of Einstein-Hilbert (EH) action provide clues towards a holographic approach to gravity which is independent of the detailed microstructure of spacetime. These features of the EH action include: (a) the existence of second derivatives of dynamical variables; (b) a non trivial relation between the surface term and the bulk term; (c) the fact that surface term is non analytic in the coupling constant, when gravity is treated as a spin-2 perturbation around flat spacetime and (d) the form of the variation of the surface term under infinitesimal coordinate transformations. The surface term can be derived directly from very general considerations and using (d) one can obtain Einstein's equations just from the surface term of the action. Further one can relate the bulk term to the surface term and derive the full EH action based on purely thermodynamic considerations. The features (a), (b) and (c) above emerge in a natural fashion in this approach. It is shown that action A grav splits into two terms −S + βE in a natural manner in any stationary spacetime with horizon, where E is essentially an integral over ADM energy density and S arises from the integral of the surface gravity over the horizon. This analysis shows that the true degrees of freedom of gravity reside in the surface term of the action, making gravity intrinsically holographic. It also provides a close connection between gravity and gauge theories, and highlights the subtle role of the singular coordinate transformations.

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Section: Observers and Their Horizonsmentioning

confidence: 96%

Holographic gravity and the surface term in the Einstein-Hilbert action

Padmanabhan¹

2005

Braz. J. Phys.

127

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“…In this case of a quasistatic gravitation field, the evolution shift of the vacuum energy is ∆ǫ vac = 0, so that one identifies the work ω m (we have introduced) with the energy of a particle in formula (82). It is also known [43] that an observer that moves with a constant acceleration g (R) (with respect to its proper time) will probably register in the Minkowski vacuum some particles (Rindler particles). The distribution of Rindler bosons have the same Planck form (82), where one has to replace g (H) by g (R) , so that the correspondent temperature is θ (R) = g (R) 2πkB .…”

Section: Quasiconstant Electric Fieldmentioning

confidence: 99%

Density matrix of a quantum field in a particle-creating background

2008

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We consider the time evolution of a quantized field in backgrounds that violate the vacuum stability (particle-creating backgrounds). Our aim is to study the exact form of the final quantum state (the density operator at a final instant of time) that has emerged from a given arbitrary initial state (from a given arbitrary density operator at the initial time instant) in the course of the evolution. We find a generating functional that allows us to have the density operators for any initial state. Averaging over states of a subsystem of antiparticles (particles), we obtain explicit forms for reduced density operators for subsystems of particles (antiparticles). Studying one-particle correlation functions, we establish a one-to-one correspondence between these functions and the reduced density operators. It is shown that in the general case a presence of bosons (e.g. gluons) in an initial state increases the creation rate of the same kind of bosons. We discuss the question (and its relation to the initial stage of quark-gluon plasma formation) whether a thermal form of one-particle distribution can appear even if the final state of the complete system is not a thermal equilibrium. In this respect, we discuss some cases when a pair creation by an electric-like field can mimic a one-particle thermal distribution. We apply our technics to some QFT problems in slowly varying electric-like backgrounds: electric, SU(3) chromoelectric, and metric. In particular, we study the time and temperature behavior of mean numbers of created particles provided switching on and off effects of the external field are negligible. It is shown that at high temperatures and in slowly varying electric fields the rate of particle creation is essentially time-dependent.

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“…Introducing the two integer parameters p = m 1 and q = m 3 , and using equation (31), for p = q + n, the system (29) reduces to the set…”

Section: Zero Modesmentioning

confidence: 99%

Equation of state of cosmic strings with fermionic current carriers

Ringeval

2001

Phys. Rev. D

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The relevant characteristic features, including energy per unit length and tension, of a cosmic string carrying massless fermionic currents in the framework of the Witten model in the neutral limit are derived through quantization of the spinor fields along the string. The construction of a Fock space is performed by means of a separation between longitudinal modes and the so-called transverse zero energy solutions of the Dirac equation in the vortex. As a result, quantization leads to a set of naturally defined state parameters which are the number densities of particles and anti-particles trapped in the cosmic string. It is seen that the usual one-parameter formalism for describing the macroscopic dynamics of current-carrying vortices is not sufficient in the case of fermionic carriers.98.80. Cq, 11.27.+d

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Nonuniqueness of Canonical Field Quantization in Riemannian Space-Time

Cited by 945 publications

References 32 publications

Holographic gravity and the surface term in the Einstein-Hilbert action

Holographic gravity and the surface term in the Einstein-Hilbert action

Density matrix of a quantum field in a particle-creating background

Equation of state of cosmic strings with fermionic current carriers

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