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The quantum theory of General Relativity at low energy exists and is of the form called "effective field theory". In this talk I describe the ideas of effective field theory and its application to General Relativity.

General Relativity and Quantum Cosmology · Physics 2007-05-23 John F. Donoghue

The complex time WKB (CWKB) approximation has been an effective technique to understand particle production in curved as well as in flat spacetime. Earlier we obtained the standard results on particle production in time dependent gauge in…

Astrophysics · Physics 2015-06-24 S. Biswas , B. Modak , A. Shaw

It is widely believed that the Hawking effect might hold clues to the possible, yet unknown, trans-Planckian physics. On the other hand, one could ask whether the effect itself might be altered by such trans-Planckian physics. We seek an…

General Relativity and Quantum Cosmology · Physics 2017-07-13 Subhajit Barman , Golam Mortuza Hossain , Chiranjeeb Singha

These are lecture notes of the QFT-I course I gave in an online mode at Chennai Mathematical Institute. The course focussed on the free relativistic quantum fields, their interactions in the perturbative scattering framework, standard…

High Energy Physics - Theory · Physics 2022-07-07 Ghanashyam Date

We investigate a recently proposed one-to-one correspondence between quantum field theories in two-dimensional curved spacetime and quantum many-body systems, which enables the simulation of Hawking radiation in static background…

General Relativity and Quantum Cosmology · Physics 2025-08-08 Gokhan Alkac , Ege Özgün

We give a progress report of our research on spacetime fluctuations induced by quantum fields in an evaporating black hole and a black hole in quasi-equilibrium with its Hawking radiation. We note the main issues involved in these two…

General Relativity and Quantum Cosmology · Physics 2016-11-09 B. L. Hu , Albert Roura

A new type of global embedding of curved space-times in higher dimensional flat ones is introduced to present a unified description of Hawking and Unruh effects. Our analysis simplifies as well as generalises the conventional embedding…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Rabin Banerjee , Bibhas Ranjan Majhi

A semi-classical reasoning leads to the non-commutativity of space and time coordinates near the horizon of static non-extreme black hole, and renders the classical horizon spreading to {\it Quantum Horizon} . In terms of the background…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mu-Lin Yan , Hua Bai

We discuss various descriptions of a quantum particle on noncommutative space in a (possibly non-constant) magnetic field. We have tried to present the basic facts in a unified and synthetic manner, and to clarify the relationship between…

Quantum Physics · Physics 2008-11-26 Francois Delduc , Quentin Duret , Francois Gieres , Matthieu Lefrancois

The physics of quantum gravity is discussed within the framework of topological quantum field theory. Some of the principles are illustrated with examples taken from theories in which space-time is three dimensional.

General Relativity and Quantum Cosmology · Physics 2009-10-28 John W. Barrett

Quantized space described by time reversal invariant and rotationally invariant noncommutative algebra of canonical type is studied. A particle in uniform field is considered. We find exactly the energy of a particle in uniform field in the…

High Energy Physics - Theory · Physics 2021-02-22 Kh. P. Gnatenko , Kh. I. Stakhur , A. V. Kryzhova

The Hawking radiation is one of the most interesting phenomena predicted by the theory of quantum field in curved space. The origin of Hawking radiation is closely related to the fact that a particle which marginally escapes from collapsing…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Yoshiaki Himemoto , Takahiro Tanaka

In the usual formulation of quantum theory, time is a global classical evolution parameter, not a local quantum observable. On the other hand, both canonical quantum gravity (which lacks fundamental time-evolution parameter) and the…

General Relativity and Quantum Cosmology · Physics 2015-03-17 H. Nikolic

Quantum kinetic theory is an important tool for studying non-equilibrium, non-perturbative and non-linear interactions within an open quantum system, and as such is able to provide an unprecedented view on particle production in the…

High Energy Physics - Phenomenology · Physics 2025-08-12 James P. Edwards , Naser Ahmadiniaz , Sebastian M. Schmidt , Christian Kohlfürst

We present a nonperturbative, first-principles numerical approach for time-dependent problems in the framework of quantum field theory. In this approach the time evolution of quantum field systems is treated in real time and at the…

Nuclear Theory · Physics 2013-11-14 Xingbo Zhao , Anton Ilderton , Pieter Maris , James P. Vary

Algebraic quantum field theory is an approach to relativistic quantum physics, notably the theory of elementary particles, which complements other modern developments in this field. It is particularly powerful for structural analysis but…

Mathematical Physics · Physics 2007-05-23 Detlev Buchholz

A causal interpretation of the quantum world needs second quantization in order to cover phenomena like creation and annihilation of particles, and this leads to quantum field theory. The causal effects of the second quantization can be…

Quantum Physics · Physics 2020-06-16 Mohammad Jamali , Mehdi Golshani , Yousef Jamali

In this thesis, we investigate the dynamical Casimir effect, the creation of particles from vacuum by dynamical boundary conditions or dynamical background, and its backreaction to the motion of the boundary. The backreaction of particle…

High Energy Physics - Theory · Physics 2024-05-17 Yu-Cun Xie

A fundamental length is introduced into physics in a way which respects the principles of relativity and quantum field theory. This improves the properties of quantum field theory: divergences are removed. How to quantize gravity is also…

High Energy Physics - Theory · Physics 2007-05-23 G. H. Gadiyar

We propose a way to encode acceleration directly into quantum fields, establishing a new class of fields. Accelerated quantum fields, as we have named them, have some very interesting properties. The most important is that they provide a…

High Energy Physics - Theory · Physics 2018-07-12 Lucas C. Céleri , Vasileios I. Kiosses