scholarly journals Determining a Quantum Theory of the Infinite-Component Majorana Field

2017 ◽  
Author(s):  
Luca Nanni
Keyword(s):  
Quantum Theory ◽  
Standard Model ◽  
Rest Mass ◽  
Quantum Field ◽  
Cpt Invariance ◽  
Exotic States ◽  
Composite Systems ◽  
The Standard Model ◽  
Infinite Component ◽  
Infinite Sum

In this paper, the quantum theory of the infinite-component Majorana field for the fermionic tower is formulated. This study proves that the energy states with increasing spin are simply composite systems made by a bradyon and antitachyons with half-integer spin. The quantum field describing these exotic states is obtained by the infinite sum of four-spinor operators, which each operator depends on the spin and the rest mass of the bradyon in its fundamental state. The interaction between bradyon-tachyon, tachyon-tachyon and tachyon-luxon has also been considered and included in the total Lagrangian. The obtained theory is consistent with the CPT invariance and the spin-statistics theorem and could explain the existence of new forms of matter not predictable within the standard model.

The Higgs impact on Einstein’s gravity: The Einstein–Kraichnan quantum gravity

2020 ◽  
Vol 35 (02n03) ◽  
pp. 2040012
Author(s):  
M. D. Maia ◽  
V. B. Bezerra
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Standard Model ◽  
Quantum Gravity ◽  
Higgs Mechanism ◽  
Quantum Field ◽  
Einstein’S Equations ◽  
Einstein's Equations ◽  
Fundamental Interactions ◽  
The Standard Model

An updated review of Kraichnan’s derivation of Einstein’s equations from quantum field theory is presented, including the period after the discovery of the Higgs mechanism and the inclusion of gravitation within the Standard Model of Fundamental Interactions.

scholarly journals Magnetic monopoles in field theory and cosmology

2012 ◽  
Vol 370 (1981) ◽  
pp. 5705-5717 ◽  
Author(s):  
Arttu Rajantie
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Standard Model ◽  
Particle Physics ◽  
Magnetic Monopoles ◽  
Beyond The Standard Model ◽  
Quantum Field ◽  
Magnetic Systems ◽  
The Standard Model

The existence of magnetic monopoles is predicted by many theories of particle physics beyond the standard model. However, in spite of extensive searches, there is no experimental or observational sign of them. I review the role of magnetic monopoles in quantum field theory and discuss their implications for particle physics and cosmology. I also highlight their differences and similarities with monopoles found in frustrated magnetic systems.

scholarly journals A QUANTUM THEORY OF GRAVITY BASED ON A COMPOSITE MODEL OF LEPTONS AND QUARKS

2011 ◽  
Vol 20 (03) ◽  
pp. 733-745 ◽  
Author(s):  
B. A. ROBSON
Keyword(s):  
Quantum Theory ◽  
Standard Model ◽  
Gravitational Interaction ◽  
Composite Model ◽  
Mass Hierarchy ◽  
New Model ◽  
Fundamental Particles ◽  
Qualitative Understanding ◽  
The Standard Model ◽  
Theory Of Gravity

A quantum theory of gravity, based upon a composite model of leptons and quarks, is presented. The model treats leptons and quarks as composites of three kinds of spin-[Formula: see text] particles (rishons) and/or their antiparticles. A strong color force, mediated by massless hypergluons, binds rishons and/or antirishons together to form colorless leptons or colored quarks, the fundamental particles of the Standard Model. The new model provides a qualitative understanding of the mass hierarchy of the three generations of leptons and quarks. An earlier conjecture that the residual interaction of the strong color force acting between any two colorless particles be identified with the corresponding gravitational interaction, is shown to lead approximately to Newton's law of gravitation.

scholarly journals Unification of gravity and quantum field theory from extended noncommutative geometry

2017 ◽  
Vol 32 (05) ◽  
pp. 1750030 ◽  
Author(s):  
Hefu Yu ◽  
Bo-Qiang Ma
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Standard Model ◽  
Gravity Field ◽  
Noncommutative Geometry ◽  
Coordinate Frame ◽  
Quantum Field ◽  
Gravity Effect ◽  
Frame Bundle ◽  
The Standard Model

We make biframe and quaternion extensions on the noncommutative geometry, and construct the biframe spacetime for the unification of gravity and quantum field theory (QFT). The extended geometry distinguishes between the ordinary spacetime based on the frame bundle and an extra non-coordinate spacetime based on the biframe bundle constructed by our extensions. The ordinary spacetime frame is globally flat and plays the role as the spacetime frame in which the fields of the Standard Model are defined. The non-coordinate frame is locally flat and is the gravity spacetime frame. The field defined in both frames of such “flat” biframe spacetime can be quantized and plays the role as the gravity field which couples with all the fields to connect the gravity effect with the Standard Model. Thus, we provide a geometric paradigm in which gravity and QFT can be unified.

scholarly journals E6 inspired SUSY models with custodial symmetry

2018 ◽  
Vol 33 (31) ◽  
pp. 1844007 ◽  
Author(s):  
R. Nevzorov
Keyword(s):  
Gauge Symmetry ◽  
Standard Model ◽  
Supersymmetric Standard Model ◽  
Exotic States ◽  
Grand Unified Theories ◽  
The Standard Model ◽  
Unified Theories ◽  
Low Energies ◽  
Custodial Symmetry ◽  
Susy Models

The breakdown of [Formula: see text] within the supersymmetric (SUSY) Grand Unified Theories (GUTs) can result in SUSY extensions of the standard model (SM) based on the SM gauge group together with extra [Formula: see text] gauge symmetry under which right-handed neutrinos have zero charge. In these [Formula: see text] extensions of the minimal supersymmetric standard model (MSSM) a single discrete [Formula: see text] symmetry may be used to suppress the most dangerous operators, that give rise to proton decay as well as nondiagonal flavour transitions at low energies. The SUSY models under consideration involves [Formula: see text] and extra exotic matter beyond the MSSM. We discuss leptogenesis within this SUSY model and argue that the extra exotic states may lead to the nonstandard Higgs decays.

VECTOR BOSON DOMINANCE OF ELECTROWEAK INTERACTIONS

1993 ◽  
Vol 08 (33) ◽  
pp. 3129-3138 ◽  
Author(s):  
YU. F. PIROGOV
Keyword(s):  
Field Theory ◽  
Standard Model ◽  
Vector Boson ◽  
Local Symmetry ◽  
Higgs Bosons ◽  
Quantum Field ◽  
Gauge Bosons ◽  
The Standard Model ◽  
Vector Bosons ◽  
Common Substructure

The linearization of the nonlinear standard model G/H= SU(3) L × U(1)/SU(2) L × U(1) via the hidden local symmetry H loc = SU(2) L × U(1) is considered. Mixing of the light elementary gauge bosons of the standard model with the dynamically generated heavy composite vector bosons is studied under the hypothesis of vector boson dominance. The model is theoretically consistent as quantum field theory and phenomenologically acceptable. It can be used as a guide to study systematically the deviations from the standard model due to a common substructure of leptons, quarks and Higgs bosons.

scholarly journals STRING FIELD THEORY FROM QUANTUM GRAVITY

2013 ◽  
Vol 25 (10) ◽  
pp. 1343005
Author(s):  
LOUIS CRANE
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Standard Model ◽  
Quantum Gravity ◽  
String Field Theory ◽  
Neutrino Oscillations ◽  
Coupled Model ◽  
Dual Model ◽  
Quantum Field ◽  
The Standard Model

Recent work on neutrino oscillations suggests that the three generations of fermions in the standard model are related by representations of the finite group A(4), the group of symmetries of the tetrahedron. Motivated by this, we explore models which extend the EPRL model for quantum gravity by coupling it to a bosonic quantum field of representations of A(4). This coupling is possible because the representation category of A(4) is a module category over the representation categories used to construct the EPRL model. The vertex operators which interchange vacua in the resulting quantum field theory reproduce the bosons and fermions of the standard model, up to issues of symmetry breaking which we do not resolve. We are led to the hypothesis that physical particles in nature represent vacuum changing operators on a sea of invisible excitations which are only observable in the A(4) representation labels which govern the horizontal symmetry revealed in neutrino oscillations. The quantum field theory of the A(4) representations is just the dual model on the extended lattice of the Lie group E6, as explained by the quantum McKay correspondence of Frenkel, Jing and Wang. The coupled model can be thought of as string field theory, but propagating on a discretized quantum spacetime rather than a classical manifold.

scholarly journals Constraints on Space-Time-Matter Theory in the Framework of the Standard-Model Extension

Galaxies ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 26
Author(s):  
James Overduin ◽  
Hamna Ali ◽  
Francis Walz
Keyword(s):  
Standard Model ◽  
Rest Mass ◽  
Lorentz Violation ◽  
Space Time ◽  
Standard Model Extension ◽  
Matter Theory ◽  
Model Extension ◽  
The Standard Model ◽  
Klein Theory ◽  
Kaluza Klein

We use experimental limits on Lorentz violation within the framework of the Standard-Model Extension to derive quantitative constraints on Space-Time-Matter theory, a version of Kaluza–Klein theory in which the cylinder condition is relaxed so that four-dimensional physics can in principle depend on the extra coordinates. The extra dimensions are not necessarily compact or length-like. We find that the associated variation in fundamental quantities such as rest mass must occur slowly, on cosmological scales.

scholarly journals Gauge Theories and the Standard Model

2020 ◽  
pp. 7-33
Author(s):  
Guido Altarelli ◽  
Stefano Forte
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Standard Model ◽  
Gauge Theories ◽  
Quantum Field ◽  
Link Type ◽  
The Standard Model ◽  
Strong Sector ◽  
Introductory Textbooks ◽  
Symmetry Structure

AbstractThis chapter, Chaps. 10.1007/978-3-030-38207-0_3 and 10.1007/978-3-030-38207-0_4 present a self-contained introduction to the Standard Model of fundamental interactions, which describes in the unified framework of gauge quantum field theories all of the fundamental forces of nature but gravity: the strong, weak, and electromagnetic interactions. This set of chapters thus provides both an introduction to the Standard Model, and to quantum field theory at an intermediate level. The union of the three chapters can be taken as a masters’ level course reference, and it requires as a prerequisite an elementary knowledge of quantum field theory, at the level of many introductory textbooks, such as Vol. 1 of Aitchison-Hey, or, at a somewhat more advanced level, Maggiore. The treatment is subdivided into three parts, each corresponding to an individual chapter, with more advanced field theory topics introduced along the way as needed. Specifically, this chapter presents the general structure of the Standard Model, its field content, and symmetry structure. This involves an introduction to non-abelian gauge theories both at the classical and quantum level. Also, it involves a discussion of spontaneous symmetry breaking and the Higgs mechanism, that play a crucial role in the architecture of the Standard Model, and their interplay with the quantization of gauge theories. Chapter 10.1007/978-3-030-38207-0_3 then presents the electroweak sector of the Standard Model. This requires introducing the concepts of CP violation and mixing, and of radiative corrections. Finally, Chap. 10.1007/978-3-030-38207-0_4 presents the strong sector of the theory, which requires a more detailed treatment of renormalization and the renormalization group.

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