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Acceleration Kernel

Bahram Mashhoon.

in Nonlocal Gravity

May 2017; p ublished online July 2017 .

Chapter. Subjects: Astronomy and Astrophysics; Mathematical and Statistical Physics. 14108 words.

The phenomenon of spin-rotation coupling provides the key to the determination of the kernel. Imagine an observer rotating in the positive sense about the direction of propagation of an...

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Acceleration-Induced Nonlocality

Bahram Mashhoon.

in Nonlocal Gravity

May 2017; p ublished online July 2017 .

Chapter. Subjects: Astronomy and Astrophysics; Mathematical and Statistical Physics. 10600 words.

The locality postulate of the standard relativity theory is exact when dealing with phenomena involving classical point particles and rays of radiation, but breaks down for electromagnetic...

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Analyticity Properties of Feynman Diagrams

Laurent Baulieu, John Iliopoulos and Roland Sénéor.

in From Classical to Quantum Fields

February 2017; p ublished online May 2017 .

Chapter. Subjects: Astronomy and Astrophysics; Mathematical and Statistical Physics. 11099 words.

General discussion of the analyticity properties of Feynman diagrams. Cutting rules and the Cutkosky unitarity relations. Unstable particles and second sheet singularities. Dispersion...

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Anomalies, instantons and axions

Michael Kachelriess.

in Quantum Fields

October 2017; p ublished online February 2018 .

Chapter. Subjects: Astronomy and Astrophysics; Mathematical and Statistical Physics. 10203 words.

The axial anomaly is derived both from the non-invariance of the path-integral measure under UA(1) transformations and calculations of specific triangle diagrams. It is demonstrated that...

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Applications

Laurent Baulieu, John Iliopoulos and Roland Sénéor.

in From Classical to Quantum Fields

February 2017; p ublished online May 2017 .

Chapter. Subjects: Astronomy and Astrophysics; Mathematical and Statistical Physics. 20401 words.

Physical applications. Introduction of the scattering amplitude and cross sections. The phase space integrals. Explicit calculations of QED processes in the tree approximation. Derivation...

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Barbour–Bertotti Best Matching

Flavio Mercati.

in Shape Dynamics

March 2018; p ublished online April 2018 .

Chapter. Subjects: Mathematical and Statistical Physics; Astronomy and Astrophysics. 3612 words.

Barbour and Bertotti’s Mach–Poincaré Principle can be realized in classical mechanics with a mathematical procedure which was beyond the grasp of Leibniz or Newton, and turns out to be...

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BARRIER PENETRATION: SEMI-CLASSICAL APPROXIMATION

Jean Zinn-Justin.

in Path Integrals in Quantum Mechanics

November 2004; p ublished online January 2010 .

Chapter. Subjects: Astronomy and Astrophysics; Mathematical and Statistical Physics. 8184 words.

A classical particle is always reflected by a potential barrier if its energy is lower than the potential. In contrast, a quantum particle has a non-vanishing probability to tunnel through...

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Baryogenesis

Michael Kachelriess.

in Quantum Fields

October 2017; p ublished online February 2018 .

Chapter. Subjects: Astronomy and Astrophysics; Mathematical and Statistical Physics. 6356 words.

This chapter shows that a baryon asymmetry can be generated only if the Sakharov conditions are satisfied. The required departure from thermal equilibrium can be realised either in...

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Best Matching: Technical Details

Flavio Mercati.

in Shape Dynamics

March 2018; p ublished online April 2018 .

Chapter. Subjects: Mathematical and Statistical Physics; Astronomy and Astrophysics. 7001 words.

The best matching procedure described in Chapter 4 is equivalent to the introduction of a principal fibre bundle in configuration space. Essentially one introduces a one-dimensional gauge...

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Beyond the Standard Model

Laurent Baulieu, John Iliopoulos and Roland Sénéor.

in From Classical to Quantum Fields

February 2017; p ublished online May 2017 .

Chapter. Subjects: Astronomy and Astrophysics; Mathematical and Statistical Physics. 19059 words.

The motivation for supersymmetry. The algebra, the superspace, and the representations. Field theory models and the non-renormalisation theorems. Spontaneous and explicit breaking of...

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