scholarly journals Gauge invariant composite fields out of connections, with examples

2014 ◽  
Vol 11 (03) ◽  
pp. 1450016 ◽  
Author(s):  
C. Fournel ◽  
J. François ◽  
S. Lazzarini ◽  
T. Masson
Keyword(s):  
Field Theory ◽  
Particle Physics ◽  
Vector Fields ◽  
Gauge Field Theory ◽  
Gauge Invariant ◽  
Massive Vector ◽  
Valued Field ◽  
The Standard Model ◽  
Breaking Mechanism ◽  
New Situation

In this paper, we put forward a systematic and unifying approach to construct gauge invariant composite fields out of connections. It relies on the existence in the theory of a group-valued field with a prescribed gauge transformation. As an illustration, we detail some examples. Two of them are based on known results: the first one provides a reinterpretation of the symmetry breaking mechanism of the electroweak part of the Standard Model of particle physics; the second one is an application to Einstein's theory of gravity described as a gauge theory in terms of Cartan connections. The last example depicts a new situation: starting with a gauge field theory on Atiyah Lie algebroids, the gauge invariant composite fields describe massive vector fields. Some mathematical and physical discussions illustrate and highlight the relevance and the generality of this approach.

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 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.

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.

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.

scholarly journals Top, Higgs, diboson and electroweak fit to the Standard Model effective field theory

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
John Ellis ◽  
Maeve Madigan ◽  
Ken Mimasu ◽  
Veronica Sanz ◽  
Tevong You
Keyword(s):  
Field Theory ◽  
Standard Model ◽  
Effective Field Theory ◽  
Particle Physics ◽  
Global Analysis ◽  
Ultra Violet ◽  
Effective Field ◽  
Decay Rates ◽  
The Standard Model ◽  
Low Mass

Abstract The search for effective field theory deformations of the Standard Model (SM) is a major goal of particle physics that can benefit from a global approach in the framework of the Standard Model Effective Field Theory (SMEFT). For the first time, we include LHC data on top production and differential distributions together with Higgs production and decay rates and Simplified Template Cross-Section (STXS) measurements in a global fit, as well as precision electroweak and diboson measurements from LEP and the LHC, in a global analysis with SMEFT operators of dimension 6 included linearly. We present the constraints on the coefficients of these operators, both individually and when marginalised, in flavour-universal and top-specific scenarios, studying the interplay of these datasets and the correlations they induce in the SMEFT. We then explore the constraints that our linear SMEFT analysis imposes on specific ultra-violet completions of the Standard Model, including those with single additional fields and low-mass stop squarks. We also present a model-independent search for deformations of the SM that contribute to between two and five SMEFT operator coefficients. In no case do we find any significant evidence for physics beyond the SM. Our underlying Fitmaker public code provides a framework for future generalisations of our analysis, including a quadratic treatment of dimension-6 operators.

scholarly journals Collider Searches for Dark Matter through the Higgs Lens

Symmetry ◽  
2021 ◽  
Vol 13 (12) ◽  
pp. 2406
Author(s):  
Spyros Argyropoulos ◽  
Oleg Brandt ◽  
Ulrich Haisch
Keyword(s):  
Dark Matter ◽  
Large Hadron Collider ◽  
Symmetry Breaking ◽  
Particle Physics ◽  
Hadron Collider ◽  
Theoretical Models ◽  
Higgs Bosons ◽  
Astronomical Observations ◽  
The Standard Model ◽  
Breaking Mechanism

Despite the fact that dark matter constitutes one of the cornerstones of the standard cosmological paradigm, its existence has so far only been inferred from astronomical observations, and its microscopic nature remains elusive. Theoretical arguments suggest that dark matter might be connected to the symmetry-breaking mechanism of the electroweak interactions or of other symmetries extending the Standard Model of particle physics. The resulting Higgs bosons, including the 125 GeV spin-0 particle discovered recently at the Large Hadron Collider, therefore represent a unique tool to search for dark matter candidates at collider experiments. This article reviews some of the relevant theoretical models as well as the results from the searches for dark matter in signatures that involve a Higgs-like particle at the Large Hadron Collider.

scholarly journals The Higgs di-photon decay in the standard model effective field theory

2019 ◽  
Vol 17 (1, spec.issue) ◽  
pp. 89-96
Author(s):  
Lampros Trifyllis
Keyword(s):  
Field Theory ◽  
Standard Model ◽  
Effective Field Theory ◽  
Particle Physics ◽  
New Physics ◽  
Effective Field ◽  
Elementary Particle Physics ◽  
Photon Decay ◽  
Higher Dimensional ◽  
The Standard Model

Starting from the Standard Model (SM) of elementary particle physics, we assume that new physics effects can be encoded in higher-dimensional operators added in the SM Lagrangian. The resulting theory, the SM Effective Field Theory (SMEFT), is then used for high-accuracy phenomenological studies. Through this paper, the di-photon decay of the Higgs boson is used as a sample of a concrete calculation in the SMEFT framework.

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