Coherent States in Quantum Field Theory

Description

This lecture explores the concept of coherent states in quantum field theory, focusing on de-Sitter space as a coherent state of gravitons. It discusses the important properties of de-Sitter space, the implications of de-Sitter in quantum field theory, and the role of coherent states in linear gravity. The instructor delves into the BRST quantization, the introduction of matter in general relativity, and the Maxwell equations with quantum corrections. The lecture concludes by emphasizing the necessity of representing de-Sitter as a coherent state of gravitons within the S-matrix framework.

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General relativity, also known as the general theory of relativity and Einstein's theory of gravity, is the geometric theory of gravitation published by Albert Einstein in 1915 and is the current description of gravitation in modern physics. General relativity generalizes special relativity and refines Newton's law of universal gravitation, providing a unified description of gravity as a geometric property of space and time or four-dimensional spacetime.

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In the theory of general relativity, linearized gravity is the application of perturbation theory to the metric tensor that describes the geometry of spacetime. As a consequence, linearized gravity is an effective method for modeling the effects of gravity when the gravitational field is weak. The usage of linearized gravity is integral to the study of gravitational waves and weak-field gravitational lensing.

Tests of general relativity

Tests of general relativity serve to establish observational evidence for the theory of general relativity. The first three tests, proposed by Albert Einstein in 1915, concerned the "anomalous" precession of the perihelion of Mercury, the bending of light in gravitational fields, and the gravitational redshift. The precession of Mercury was already known; experiments showing light bending in accordance with the predictions of general relativity were performed in 1919, with increasingly precise measurements made in subsequent tests; and scientists claimed to have measured the gravitational redshift in 1925, although measurements sensitive enough to actually confirm the theory were not made until 1954.

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