A UNIFIED GAUGE FIELD LAGRANGIAN FOR ELECTROWEAK STRONG AND GRAVITATIONAL INTERACTION

1994 ◽  
Vol 03 (01) ◽  
pp. 313-316
Author(s):  
THEO VERWIMP
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Particle Physics ◽  
Principal Bundle ◽  
Gravitational Interaction ◽  
Electroweak Interaction ◽  
The Other ◽  
Gauge Field Theory ◽  
Yang Mills ◽  
Fundamental Interactions

Gravity can be descibed as a gauge field theory where connection and curvature are so(2,3)-valued. In the standard gauge field theory for strong and electroweak interaction corresponding quantities take their value in the su(3)⊕su(2)⊕u(1) algebra. Therefore, unification of gravity with the other fundamental interactions is obtained by using the non-compact simple real Lie algebra so*(14)⊃so(2,3)⊕su(3)⊕su(2)⊕u(1) as a unifying algebra. The so*(14) gauge field defined by a connection one-form on the SO*(14) principal fiber bundle unifies the fundamental interactions in particle physics, gravity included. The unified gauge field Lagrangian is defined by the Yang-Mills Weil form on the SO*(14) principal bundle.

SYMMETRY BREAKING IN GAUGE FIELD THEORY DUE TO NONCOMMUTATIVE SPACETIME

2005 ◽  
Vol 14 (02) ◽  
pp. 215-218 ◽  
Author(s):  
B. G. SIDHARTH
Keyword(s):  
Field Theory ◽  
Symmetry Breaking ◽  
Gauge Field ◽  
Gauge Field Theory ◽  
Yang Mills ◽  
Interaction Field ◽  
Breaking Mechanism ◽  
Noncommutative Spacetime ◽  
Usual Theory

It is well known that a typical Yang–Mills Gauge Field is mediated by massless Bosons. It is only through a symmetry breaking mechanism, as in the Salam–Weinberg model that the quanta of such an interaction field acquire a mass in the usual theory. Here, we demonstrate that without taking recourse to the usual symmetry breaking mechanism, it is still possible to achieve this, given a noncommutative geometrical underpinning for spacetime.

Discovery of the first Yang–Mills gauge particle — The gluon

2015 ◽  
Vol 30 (34) ◽  
pp. 1530066
Author(s):  
Sau Lan Wu
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Gauge Field Theory ◽  
Higgs Particle ◽  
Abelian Gauge ◽  
Yang Mills ◽  
Experimental Discovery ◽  
Chen Ning Yang

This article “Discovery of the First Yang–Mills Gauge Particle — The Gluon” is dedicated to Professor Chen Ning Yang. The Gluon is the first Yang–Mills non-Abelian gauge particle discovered experimentally. The Yang–Mills non-Abelian gauge field theory was proposed by Yang and Mills in 1954, sixty years ago. The experimental discovery of the first Yang–Mills non-Abelian gauge particle — the gluon — in the spring of 1979 is summarized, together with some of the subsequent developments, including the role of the gluon in the recent discovery of the Higgs particle.

scholarly journals Physics architecture. Part two

2019 ◽  
Vol 204 ◽  
pp. 02002
Author(s):  
Nelly Konopleva
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Invariance Principle ◽  
Gauge Invariance ◽  
Particle Physics ◽  
Nuclear Physics ◽  
100Th Anniversary ◽  
Gauge Field Theory ◽  
Problem Solution ◽  
Physics Department

Physics architecture. Part two. The talk is devoted to the jubilee of academician M.A. Markov, who was born in 1908. Now we have also the 100th anniversary of the gauge invariance principle proposed by Weyl in 1918. During the period from 1967 to 1988 M.A. Markov was Academician Secretary of Nuclear Physics Department of AN USSR. He organized the series of conferences dedicated to the topical problems of theoretical, nuclear and elementary particle physics. One of them was international seminar “Vector mesons and electromagnetic interactions” under A.M. Baldin direct leadership. It went off in JINR in September of 1969. This very that seminar gave birth to the conferences series named “Baldin autumn”. Thanks to the discussions at the A.M. Baldin seminar many critical situations in theoretical and experimental physics were subsequently settled. The first plenary session of the seminar included L.D. Faddeev talk about gauge field quantization, which cleared the way to develop the renormalized quantum gauge field theory. My talk was dedicated to the transformation of the classical gauge field theory into geometrical one. As a result the unified geometrical theory was obtained, which could include any interactions together with Einsteinian gravity. In this connection both formulations of Weyl’s local gauge invariance principle (of 1918 and 1929) as well as Einsteinian principle of general relativity were used. This approach was based on the fibre bundle geometry, which was developed by mathematicians at that time. This theory gives a realizable classification of interactions according to the local Lie’s symmetry groups associated with them. This approach leads to the VIth Hilbert’s problem solution. To obtain further development of the gauge field theory, it is necessary to decide the question of the gauge field mass origin. It is the key moment both in quantum and geometrical classical theories of the gauge fields. Therefore it is very important to analyze the experiments, where massive and massless particles are converted in each other (similar Baldin experiments in JINR in 1967).

GAUGE FIELD THEORY OF HORIZONTAL SYMMETRY

2009 ◽  
Vol 24 (18n19) ◽  
pp. 3523-3530
Author(s):  
IKUO S. SOGAMI
Keyword(s):  
Field Theory ◽  
Standard Model ◽  
Gauge Field ◽  
Particle Physics ◽  
Gauge Field Theory ◽  
Horizontal Symmetry ◽  
Mass Matrices ◽  
The Standard Model ◽  
Boson Fields ◽  
Modes Of Existence

The standard model of particle physics is generalized with a horizontal symmetry so that all its results are successfully reproduced without inducing any unphysical modes of existence. Two stage breakdowns of symmetries result in mass matrices of Majorana and Dirac types for fundamental fermions and predict rich physical modes of boson fields, some of which might be observed by the LHC experiment.

scholarly journals Octonionic ternary gauge field theories revisited

2014 ◽  
Vol 11 (03) ◽  
pp. 1450013 ◽  
Author(s):  
Carlos Castro
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Gauge Field Theories ◽  
Field Theories ◽  
Gauge Field Theory ◽  
Gauge Fields ◽  
Gauge Transformations ◽  
Yang Mills ◽  
Closure Relations ◽  
Nonassociative Geometry

An octonionic ternary gauge field theory is explicitly constructed based on a ternary-bracket defined earlier by Yamazaki. The ternary infinitesimal gauge transformations do obey the key closure relations [δ1, δ2] = δ3. An invariant action for the octonionic-valued gauge fields is displayed after solving the previous problems in formulating a nonassociative octonionic ternary gauge field theory. These octonionic ternary gauge field theories constructed here deserve further investigation. In particular, to study their relation to Yang–Mills theories based on the G2 group which is the automorphism group of the octonions and their relevance to noncommutative and nonassociative geometry.

Riemann–Weyl in Deleuze's Bergsonism and the Constitution of the Contemporary Physico-Mathematical Space

2015 ◽  
Vol 9 (1) ◽  
pp. 59-87 ◽  
Author(s):  
Martin Calamari
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Fibre Bundle ◽  
History Of Mathematics ◽  
Gauge Field Theory ◽  
Contemporary Science ◽  
Explicit Mention ◽  
History Of ◽  
Key Features ◽  
Bernhard Riemann

In recent years, the ideas of the mathematician Bernhard Riemann (1826–66) have come to the fore as one of Deleuze's principal sources of inspiration in regard to his engagements with mathematics, and the history of mathematics. Nevertheless, some relevant aspects and implications of Deleuze's philosophical reception and appropriation of Riemann's thought remain unexplored. In the first part of the paper I will begin by reconsidering the first explicit mention of Riemann in Deleuze's work, namely, in the second chapter of Bergsonism (1966). In this context, as I intend to show first, Deleuze's synthesis of some key features of the Riemannian theory of multiplicities (manifolds) is entirely dependent, both textually and conceptually, on his reading of another prominent figure in the history of mathematics: Hermann Weyl (1885–1955). This aspect has been largely underestimated, if not entirely neglected. However, as I attempt to bring out in the second part of the paper, reframing the understanding of Deleuze's philosophical engagement with Riemann's mathematics through the Riemann–Weyl conjunction can allow us to disclose some unexplored aspects of Deleuze's further elaboration of his theory of multiplicities (rhizomatic multiplicities, smooth spaces) and profound confrontation with contemporary science (fibre bundle topology and gauge field theory). This finally permits delineation of a correlation between Deleuze's plane of immanence and the contemporary physico-mathematical space of fundamental interactions.

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