scholarly journals Physical spectrum of conformalSU(N)gauge theories

1999 ◽  
Vol 59 (6) ◽  
Author(s):  
Thomas Appelquist ◽  
Francesco Sannino
Keyword(s):  
Gauge Theories ◽  
Physical Spectrum

scholarly journals PHYSICAL SPECTRUM FROM CONFINED EXCITATIONS IN A YANG–MILLS-INSPIRED TOY MODEL

2013 ◽  
Vol 28 (10) ◽  
pp. 1350034 ◽  
Author(s):  
M. A. L. CAPRI ◽  
D. DUDAL ◽  
M. S. GUIMARAES ◽  
L. F. PALHARES ◽  
S. P. SORELLA
Keyword(s):  
Field Theory ◽  
Bound States ◽  
Gauge Theories ◽  
Spectral Representation ◽  
Complex Conjugate ◽  
Meson Mass ◽  
Yang Mills ◽  
Physical Spectrum ◽  
Real Mass ◽  
Particle Interpretation

We study a toy model for an interacting scalar field theory in which the fundamental excitations are confined in the sense of having unphysical, positivity-violating propagators, a fact tracing back to a decomposition of these in propagators with complex conjugate mass poles (the so-called i-particles). Similar two-point functions show up in certain approaches to gluon or quark propagators in Yang–Mills gauge theories. We investigate the spectrum of our model and show that suitable composite operators may be constructed having a well-defined Källén–Lehmann spectral representation, thus allowing for a particle interpretation. These physical excitations would correspond to the "mesons" of the model, the latter being bound states of two unphysical i-particles. The meson mass is explicitly estimated from the pole emerging in a resummed class of diagrams. The main purpose of this paper is thus to explicitly verify how a real mass pole can and does emerge out of constituent i-particles that have complex masses.

scholarly journals A study of how the particle spectra of SU(N) gauge theories with a fundamental Higgs emerge

2018 ◽  
Vol 175 ◽  
pp. 08002 ◽  
Author(s):  
Pascal Törek ◽  
Axel Maas ◽  
René Sondenheimer
Keyword(s):  
Standard Model ◽  
Gauge Theories ◽  
Higgs Field ◽  
Higgs Sector ◽  
Fundamental Representation ◽  
The Standard Model ◽  
Physical Spectrum ◽  
Particle Spectra ◽  
Invariant States ◽  
General Gauge

In gauge theories, the physical, experimentally observable spectrum consists only of gauge-invariant states. In the standard model the Fröhlich-Morchio-Strocchi mechanism shows that these states can be adequately mapped to the gauge-dependent elementary W, Z, Higgs, and fermions. In theories with a more general gauge group and Higgs sector, appearing in various extensions of the standard model, this has not to be the case. In this work we determine analytically the physical spectrum of SU(N > 2) gauge theories with a Higgs field in the fundamental representation. We show that discrepancies between the spectrum predicted by perturbation theory and the observable physical spectrum arise. We confirm these analytic findings with lattice simulations for N = 3.

scholarly journals Where have all the Goldstone bosons gone?

2014 ◽  
Vol 29 (09) ◽  
pp. 1450046 ◽  
Author(s):  
G. S. Guralnik ◽  
C. R. Hagen
Keyword(s):  
Vector Meson ◽  
Gauge Theories ◽  
Broken Symmetry ◽  
Goldstone Theorem ◽  
Massive Vector ◽  
Longitudinal Modes ◽  
Goldstone Bosons ◽  
Physical Spectrum ◽  
Covariant Gauge

According to a commonly held view of spontaneously broken symmetry in gauge theories, troublesome Nambu–Goldstone bosons are effectively eliminated by turning into longitudinal modes of a massive vector meson. This note shows that, this is not in fact, a consistent view of the role of Nambu–Goldstone bosons in such theories. These particles necessarily appear as gauge excitations, whenever they are formulated in a manifestly covariant gauge. The radiation gauge provides therefore the dual advantage of circumventing the Goldstone theorem and making evident the disappearance of these particles from the physical spectrum.

Geometry and Quantum Dynamics

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
General Relativity ◽  
Quantum Dynamics ◽  
Gauge Theories ◽  
Brst Symmetry ◽  
Abelian Gauge ◽  
Yang Mills ◽  
History Of ◽  
Brst Invariance

A geometrical derivation of Abelian and non- Abelian gauge theories. The Faddeev–Popov quantisation. BRST invariance and ghost fields. General discussion of BRST symmetry. Application to Yang–Mills theories and general relativity. A brief history of gauge theories.

Path integral for gauge theories with fermions

1980 ◽  
Vol 21 (10) ◽  
pp. 2848-2858 ◽  
Author(s):  
Kazuo Fujikawa
Keyword(s):  
Path Integral ◽  
Gauge Theories

scholarly journals Cwebs beyond three loops in multiparton amplitudes

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Neelima Agarwal ◽  
Lorenzo Magnea ◽  
Sourav Pal ◽  
Anurag Tripathi
Keyword(s):  
Gauge Theories ◽  
Anomalous Dimension ◽  
Wilson Line ◽  
Building Blocks ◽  
Feynman Diagrams ◽  
Loop Order ◽  
Abelian Gauge ◽  
Sum Rule ◽  
Combinatorial Properties ◽  
Low Dimensional

Abstract Correlators of Wilson-line operators in non-abelian gauge theories are known to exponentiate, and their logarithms can be organised in terms of collections of Feynman diagrams called webs. In [1] we introduced the concept of Cweb, or correlator web, which is a set of skeleton diagrams built with connected gluon correlators, and we computed the mixing matrices for all Cwebs connecting four or five Wilson lines at four loops. Here we complete the evaluation of four-loop mixing matrices, presenting the results for all Cwebs connecting two and three Wilson lines. We observe that the conjuctured column sum rule is obeyed by all the mixing matrices that appear at four-loops. We also show how low-dimensional mixing matrices can be uniquely determined from their known combinatorial properties, and provide some all-order results for selected classes of mixing matrices. Our results complete the required colour building blocks for the calculation of the soft anomalous dimension matrix at four-loop order.

scholarly journals Gauging 1-form center symmetries in simple SU(N) gauge theories

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Stefano Bolognesi ◽  
Kenichi Konishi ◽  
Andrea Luzio
Keyword(s):  
Gauge Theories
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