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Operational Quantum Theory II: Relativistic Structures

Heinrich Saller

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Institución detectada Año de publicación Navegá Descargá Solicitá
No detectada 2006 SpringerLink

Información

Tipo de recurso:

libros

ISBN impreso

978-0-387-29776-7

ISBN electrónico

978-0-387-34644-1

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

Información sobre derechos de publicación

© Springer Science+Business Media, Inc. 2006

Cobertura temática

Tabla de contenidos

Introduction

Heinrich Saller

Immediately after World War II, developers in the United States took advantage of market demand and government incentives to build new housing subdivisions for returning soldiers anxious to marry, begin families, and resume civilian life. New developments such as Levittown (New York), Park Forest (Illinois) and Lakewood (California) sprang up and were quickly filled with affordable cookie-cutter homes for veterans seeking the American Dream of suburban home ownership (Hayden 2003). The baby boom followed. As a result of the boom and international immigration, the U.S. population grew from 151 million to 300 million between 1950 and 2007. To accommodate this expanding population growth, cities and towns in the U.S. rapidly spread into their rural hinterlands.

Pp. 1-15

Lorentz Operations

Heinrich Saller

Immediately after World War II, developers in the United States took advantage of market demand and government incentives to build new housing subdivisions for returning soldiers anxious to marry, begin families, and resume civilian life. New developments such as Levittown (New York), Park Forest (Illinois) and Lakewood (California) sprang up and were quickly filled with affordable cookie-cutter homes for veterans seeking the American Dream of suburban home ownership (Hayden 2003). The baby boom followed. As a result of the boom and international immigration, the U.S. population grew from 151 million to 300 million between 1950 and 2007. To accommodate this expanding population growth, cities and towns in the U.S. rapidly spread into their rural hinterlands.

Pp. 17-46

Spacetime as Unitary Operation ClasseS

Heinrich Saller

Immediately after World War II, developers in the United States took advantage of market demand and government incentives to build new housing subdivisions for returning soldiers anxious to marry, begin families, and resume civilian life. New developments such as Levittown (New York), Park Forest (Illinois) and Lakewood (California) sprang up and were quickly filled with affordable cookie-cutter homes for veterans seeking the American Dream of suburban home ownership (Hayden 2003). The baby boom followed. As a result of the boom and international immigration, the U.S. population grew from 151 million to 300 million between 1950 and 2007. To accommodate this expanding population growth, cities and towns in the U.S. rapidly spread into their rural hinterlands.

Pp. 47-72

Propagators

Heinrich Saller

Immediately after World War II, developers in the United States took advantage of market demand and government incentives to build new housing subdivisions for returning soldiers anxious to marry, begin families, and resume civilian life. New developments such as Levittown (New York), Park Forest (Illinois) and Lakewood (California) sprang up and were quickly filled with affordable cookie-cutter homes for veterans seeking the American Dream of suburban home ownership (Hayden 2003). The baby boom followed. As a result of the boom and international immigration, the U.S. population grew from 151 million to 300 million between 1950 and 2007. To accommodate this expanding population growth, cities and towns in the U.S. rapidly spread into their rural hinterlands.

Pp. 73-93

Massive Particle Quantum Fields

Heinrich Saller

Immediately after World War II, developers in the United States took advantage of market demand and government incentives to build new housing subdivisions for returning soldiers anxious to marry, begin families, and resume civilian life. New developments such as Levittown (New York), Park Forest (Illinois) and Lakewood (California) sprang up and were quickly filled with affordable cookie-cutter homes for veterans seeking the American Dream of suburban home ownership (Hayden 2003). The baby boom followed. As a result of the boom and international immigration, the U.S. population grew from 151 million to 300 million between 1950 and 2007. To accommodate this expanding population growth, cities and towns in the U.S. rapidly spread into their rural hinterlands.

Pp. 95-130

Massless Quantum Fields

Heinrich Saller

Massless spacetime vector fields (“gauge fields”) {} are acted on by the 4-dimensional Minkowski representation of (1, 3), like the spacetime translations. They realize, together with the field strengths {} in the real 6-dimensional adjoint representation, the two fundamental representations of the Lorentz group. Duality pairing for a quantum theory requires a scalar field (“gauge fixing” field) to complete four (4 = 3 + 1) dual pairs (,) and ().

The translation representations acting on the four components of the gauge field are in the indefinite unitary group (1, 3) ⊃ (1, 1) ×(2) as supgroup of the indefinite metric Lorentz group (1, 3). The Minkowski metric shows up in the indefinite signature (1, 3) metric for the gauge field inner product space. A projection to a probability interpretable vector subspace with the two particle degrees of freedom for left and right circularly polarized photons requires the transition to translation eigenvectors that are determined by a trivial action of the nilpotent part of the dynamics. To define a nilquadratic projection (Becchi-Rouet-Stora transformation) in the quantum algebra, the Bose type gauge fields (, ) have to be paired with Lorentz scalar fields () of Fermi type (Fadeev-Popov fields). They have no particle degrees of freedom. Translation eigenvectors have trivial Becchi-Rouet-Stora charge; they are “gauge invariant.”

Pp. 131-156

Gauge Interactions

Heinrich Saller

Immediately after World War II, developers in the United States took advantage of market demand and government incentives to build new housing subdivisions for returning soldiers anxious to marry, begin families, and resume civilian life. New developments such as Levittown (New York), Park Forest (Illinois) and Lakewood (California) sprang up and were quickly filled with affordable cookie-cutter homes for veterans seeking the American Dream of suburban home ownership (Hayden 2003). The baby boom followed. As a result of the boom and international immigration, the U.S. population grew from 151 million to 300 million between 1950 and 2007. To accommodate this expanding population growth, cities and towns in the U.S. rapidly spread into their rural hinterlands.

Pp. 157-205

Harmonic Analysis

Heinrich Saller

Immediately after World War II, developers in the United States took advantage of market demand and government incentives to build new housing subdivisions for returning soldiers anxious to marry, begin families, and resume civilian life. New developments such as Levittown (New York), Park Forest (Illinois) and Lakewood (California) sprang up and were quickly filled with affordable cookie-cutter homes for veterans seeking the American Dream of suburban home ownership (Hayden 2003). The baby boom followed. As a result of the boom and international immigration, the U.S. population grew from 151 million to 300 million between 1950 and 2007. To accommodate this expanding population growth, cities and towns in the U.S. rapidly spread into their rural hinterlands.

Pp. 207-269

Residual Spacetime Representations

Heinrich Saller

Immediately after World War II, developers in the United States took advantage of market demand and government incentives to build new housing subdivisions for returning soldiers anxious to marry, begin families, and resume civilian life. New developments such as Levittown (New York), Park Forest (Illinois) and Lakewood (California) sprang up and were quickly filled with affordable cookie-cutter homes for veterans seeking the American Dream of suburban home ownership (Hayden 2003). The baby boom followed. As a result of the boom and international immigration, the U.S. population grew from 151 million to 300 million between 1950 and 2007. To accommodate this expanding population growth, cities and towns in the U.S. rapidly spread into their rural hinterlands.

Pp. 271-298

Spectrum of Spacetime

Heinrich Saller

Immediately after World War II, developers in the United States took advantage of market demand and government incentives to build new housing subdivisions for returning soldiers anxious to marry, begin families, and resume civilian life. New developments such as Levittown (New York), Park Forest (Illinois) and Lakewood (California) sprang up and were quickly filled with affordable cookie-cutter homes for veterans seeking the American Dream of suburban home ownership (Hayden 2003). The baby boom followed. As a result of the boom and international immigration, the U.S. population grew from 151 million to 300 million between 1950 and 2007. To accommodate this expanding population growth, cities and towns in the U.S. rapidly spread into their rural hinterlands.

Pp. 299-330