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Symmetry
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Symmetry in Quantum Field Theory
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Symmetry in Quantum Field Theory

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: closed (30 September 2017) | Viewed by 11980

Special Issue Editor

Dr. Nicola Maggiore

E-Mail Website
Guest Editor
Istituto Nazionale di Fisica Nucleare (I.N.F.N.), Sezione di Genova, Via Dodecaneso 33, 16146 Genova, Italy
Interests: quantum field theory; BRS renormalization; topological quantum field theory; linearized gravity; modified theories of gravity; fractons
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Symmetries plays a central and defining role in Quantum Field Theory, which, indeed, arises as the application to a particular symmetry principle (relativistic invariance) to quantum mechanics. In QFT, two main ways exist of using symmetry. In the first case, the equations or expressions of physical interest are already given, as consequences of a quantum action written in terms of quantum fields, and the strategy is to study their symmetry properties, intended as invariance under a specified group of transformations of the quantum fields. On the other hand, it is possible to start with specific symmetries and search for dynamical equations with such properties. In other words, we postulate that certain symmetries are physically significant, rather than deriving them from prior dynamical equations. On top of this is the observation that the world is only approximately symmetric, as indicated, for instance, by the mass differences of particles. This suggests the possibility that dynamics may, itself, be the mechanism whereby the symmetry is broken. Such is the underlying thought behind the spontaneous breakdown of symmetry, characterised by non-symmetrical solutions to symmetric field equations. Finally, dualities can also be seen as a class of symmetries that relate different theories, or very different regimes of the same theory, rather than solutions to theories, as one finds with standard symmetries and gauge symmetries.

The above mentioned considerations may serve as a hint for contributions to this Special Issue, but also many other aspects of Symmetries in QFT are very welcome.

Prof. Nicola Maggiore
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • symmetry in theory of fields and particles

  • global symmetry

  • gauge symmetry

  • nonlinear symmetry

  • BRST symmetry

  • spontaneous symmetry breaking

  • dualities in QFT and strings

  • gauge-gravity correspondence

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Published Papers (3 papers)

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Research

26 pages, 1733 KiB  
Article
The LHC Higgs Boson Discovery: Updated Implications for Finite Unified Theories and the SUSY Breaking Scale
by Sven Heinemeyer, Myriam Mondragón, Gregory Patellis, Nicholas Tracas and George Zoupanos
Symmetry 2018, 10(3), 62; https://doi.org/10.3390/sym10030062 - 7 Mar 2018
Cited by 13 | Viewed by 3382
Abstract
Finite Unified Theories (FUTs) are N = 1 supersymmetric Grand Unified Theories, which can be made finite to all orders in perturbation theory, based on the principle of the reduction of couplings. The latter consists of searching for renormalization group invariant relations among [...] Read more.
Finite Unified Theories (FUTs) are N = 1 supersymmetric Grand Unified Theories, which can be made finite to all orders in perturbation theory, based on the principle of the reduction of couplings. The latter consists of searching for renormalization group invariant relations among parameters of a renormalizable theory holding to all orders in perturbation theory. FUTs have proven very successful so far. In particular, they predicted the top quark mass one and half years before its experimental discovery, while around five years before the Higgs boson discovery, a particular FUT was predicting the light Higgs boson in the mass range ∼121–126 GeV, in striking agreement with the discovery at LHC. Here, we review the basic properties of the supersymmetric theories and in particular finite theories resulting from the application of the method of reduction of couplings in their dimensionless and dimensionful sectors. Then, we analyze the phenomenologically-favored FUT, based on SU(5). This particular FUT leads to a finiteness constrained version of the Minimal SUSY Standard Model (MSSM), which naturally predicts a relatively heavy spectrum with colored supersymmetric particles above 2.7 TeV, consistent with the non-observation of those particles at the LHC. The electroweak supersymmetric spectrum starts below 1 TeV, and large parts of the allowed spectrum of the lighter might be accessible at CLIC. The FCC-hhwill be able to fully test the predicted spectrum. Full article
(This article belongs to the Special Issue Symmetry in Quantum Field Theory)
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15 pages, 378 KiB  
Article
Behaviour of Charged Spinning Massless Particles
by Ivan Morales, Bruno Neves, Zui Oporto and Olivier Piguet
Symmetry 2018, 10(1), 2; https://doi.org/10.3390/sym10010002 - 22 Dec 2017
Cited by 4 | Viewed by 4020
Abstract
We revisit the classical theory of a relativistic massless charged point particle with spin and interacting with an external electromagnetic field. In particular, we give a proper definition of its kinetic energy and its total energy, the latter being conserved when the external [...] Read more.
We revisit the classical theory of a relativistic massless charged point particle with spin and interacting with an external electromagnetic field. In particular, we give a proper definition of its kinetic energy and its total energy, the latter being conserved when the external field is stationary. We also write the conservation laws for the linear and angular momenta. Finally, we find that the particle’s velocity may differ from c as a result of the spin—electromagnetic field interaction, without jeopardizing Lorentz invariance. Full article
(This article belongs to the Special Issue Symmetry in Quantum Field Theory)
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17 pages, 425 KiB  
Article
Towards a New Proposal for the Time Delay in Gravitational Lensing
by Nicola Alchera, Marco Bonici and Nicola Maggiore
Symmetry 2017, 9(10), 202; https://doi.org/10.3390/sym9100202 - 25 Sep 2017
Cited by 4 | Viewed by 3250
Abstract
One application of the Cosmological Gravitational Lensing in General Relativity is the measurement of the Hubble constant H 0 using the time delay Δ t between multiple images of lensed quasars. This method has already been applied, obtaining a value of [...] Read more.
One application of the Cosmological Gravitational Lensing in General Relativity is the measurement of the Hubble constant H 0 using the time delay Δ t between multiple images of lensed quasars. This method has already been applied, obtaining a value of H 0 compatible with that obtained from the SNe 1A, but non-compatible with that obtained studying the anisotropies of the CMB. This difference could be a statistical fluctuation or an indication of new physics beyond the Standard Model of Cosmology, so it desirable to improve the precision of the measurements. At the current technological capabilities it is possible to obtain H 0 to a percent level uncertainty, so a more accurate theoretical model could be necessary in order to increase the precision about the determination of H 0 . The actual formula which relates Δ t with H 0 is approximated; in this paper we expose a proposal to go beyond the previous analysis and, within the context of a new model, we obtain a more precise formula than that present in the literature. Full article
(This article belongs to the Special Issue Symmetry in Quantum Field Theory)
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