scholarly journals Inflationary cosmology — a dissipative quantum field theory process

2003 ◽  
Vol 117 ◽  
pp. 135-138 ◽  
Author(s):  
Arjun Berera
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Inflationary Cosmology ◽  
Quantum Field

Unexpected Applications of Hill's Differential Equations in Quantum Field Theory and Cosmology

2003 ◽  
Vol 18 (12) ◽  
pp. 2159-2166
Author(s):  
V. M. Mostepanenko
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
External Field ◽  
Differential Equations ◽  
Parametric Resonance ◽  
Physical Theory ◽  
Pair Creation ◽  
Physical Effect ◽  
Inflationary Cosmology ◽  
Quantum Field

The effect of the exponential pair creation from vacuum by the external field periodic in time is discussed. Two prospective applications of this physical effect in quantum field theory and in inflationary cosmology are considered. Being a nontrivial example of a parametric resonance, the effect of exponential pair creation may serve as an illustration of the effectiveness of mathematics in physical theory.

Inflation and primordial perturbations

2018 ◽  
Author(s):  
Michele Maggiore
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Large Field ◽  
Inflationary Cosmology ◽  
Small Field ◽  
Quantum Field ◽  
Curved Space ◽  
Slow Roll ◽  
Starobinsky Model ◽  
Single Field

Review of inflationary cosmology. Single-field slow-roll inflation. Large-field inflation and small-field inflation. Starobinsky model. Quantum field theory in curved space. Generation of primordial perturbations during inflation. Mukhanov-Sasaki equation. Scalar and tensor perturbations.

A Review of Conformal Field Theory in 2D

2014 ◽  
Vol 6 (2) ◽  
pp. 1079-1105
Author(s):  
Rahul Nigam
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Conformal Field Theory ◽  
Statistical Mechanics ◽  
Critical Behavior ◽  
Verma Module ◽  
Virasoro Algebra ◽  
Quantum Field ◽  
Conformal Field ◽  
Insight Into

In this review we study the elementary structure of Conformal Field Theory in which is a recipe for further studies of critical behavior of various systems in statistical mechanics and quantum field theory. We briefly review CFT in dimensions which plays a prominent role for example in the well-known duality AdS/CFT in string theory where the CFT lives on the AdS boundary. We also describe the mapping of the theory from the cylinder to a complex plane which will help us gain an insight into the process of radial quantization and radial ordering. Finally we will develop the representation of the Virasoro algebra which is the well-known "Verma module".  

Some remarks on a deformed quantum field theory

2002 ◽  
Author(s):  
Marco Aurelio Do Rego Monteiro ◽  
V. B. Bezerra ◽  
E. M.F. Curado
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field

Quantum mechanics

2018 ◽  
Author(s):  
Michael Kachelriess
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Mechanics ◽  
Relativistic Quantum ◽  
Transition Amplitude ◽  
External Source ◽  
Quantum Field ◽  
Damping Term ◽  
Relativistic Quantum Theory ◽  
Generating Functional

After a brief review of the operator approach to quantum mechanics, Feynmans path integral, which expresses a transition amplitude as a sum over all paths, is derived. Adding a linear coupling to an external source J and a damping term to the Lagrangian, the ground-state persistence amplitude is obtained. This quantity serves as the generating functional Z[J] for n-point Green functions which are the main target when studying quantum field theory. Then the harmonic oscillator as an example for a one-dimensional quantum field theory is discussed and the reason why a relativistic quantum theory should be based on quantum fields is explained.

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