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There is solid consensus among physicists and philosophers that, in gauge field theory, for a quantity to be physically meaningful or real, it must be gauge-invariant. Yet, every "elementary" field in the Standard Model of particle physics…

History and Philosophy of Physics · Physics 2025-01-23 Philipp Berghofer , Jordan François

Within the functional renormalization group approach we study the effective QFT of Einstein gravity and one self-interacting scalar coupled to N_f Dirac fermions. We include in our analysis the matter anomalous dimensions induced by all the…

High Energy Physics - Theory · Physics 2010-12-28 G. P. Vacca , O. Zanusso

We examine six-dimensional quantum field theories through the lens of higher-form global symmetries. Every Yang-Mills gauge theory in six dimensions, with field strength $f^{(2)}$, naturally gives rise to a continuous 1-form global symmetry…

High Energy Physics - Theory · Physics 2021-05-12 Clay Cordova , Thomas T. Dumitrescu , Kenneth Intriligator

It was recently argued that quantum field theories possess one-form and higher-form symmetries, labelled `generalized global symmetries.' In this paper, we describe how those higher-form symmetries can be understood mathematically as…

High Energy Physics - Theory · Physics 2016-01-28 E. Sharpe

We investigate the holographic Renormalization Group (RG) flows and the critical phenomena that take place in the $QFT$'s dual to the d-dimensional cubic Quasi-Topological Gravity coupled to scalar matter. The knowledge of the corresponding…

High Energy Physics - Theory · Physics 2012-07-10 G. M. Sotkov , U. Camara dS

Given the importance of quantum reference frames (QRFs) to both quantum and gravitational physics, it is pertinent to develop a systematic method for switching between the descriptions of physics relative to different choices of QRFs, which…

Quantum Physics · Physics 2023-08-23 Augustin Vanrietvelde , Philipp A. Hoehn , Flaminia Giacomini

A gauge theory with an underlying SU_q(2) quantum group symmetry is introduced, and its properties examined. With suitable assumptions, this model is found to have many similarities with the usual SU(2)\times U(1) Standard Model,…

High Energy Physics - Theory · Physics 2009-10-30 Paul Watts

The Two Higgs Doublet Model invariant under the gauge group SU(2)xU(1) is known to have six additional global discrete or continuous symmetries of its scalar sector. We have discovered regions of parameter space of the model which are basis…

High Energy Physics - Phenomenology · Physics 2023-07-18 Pedro M. Ferreira , Bohdan Grzadkowski , Odd Magne Ogreid , Per Osland

Very recently, the Large Hadron Collider was turned on. There, the experiments are aiming to test different scenarios for elementary particles interactions from SUSY, Extra dimensions to others. In fact, SUSY was invented to kill the…

High Energy Physics - Theory · Physics 2008-10-19 Abouzeid M. Shalaby

We discuss in details a simple, purely bosonic, quantum field theory belonging to larger class of models with the following properties: a) They are asymptotically free, with a dynamically generated mass scale. b) They have a space of…

High Energy Physics - Theory · Physics 2010-02-03 Frank Ferrari

We present a class of three-dimensional quantum field theories whose ordinary global symmetries mix with higher-form symmetries to form a continuous 2-group. All these models can be obtained by performing a gauging procedure in a parent…

High Energy Physics - Theory · Physics 2023-05-26 Jeremias Aguilera Damia , Riccardo Argurio , Luigi Tizzano

We present a comprehensive theoretical analysis of the General Standard Model (GSM), a recently proposed framework that unifies particle physics and cosmology within the Gravitational Quantum Field Theory (GQFT). Constructed from first…

General Physics · Physics 2026-01-30 Yue-Liang Wu

Recent developments concerning canonical quantisation and gauge invariant quantum mechanical systems and quantum field theories are briefly discussed. On the one hand, it is shown how diffeomorphic covariant representations of the…

High Energy Physics - Theory · Physics 2007-05-23 Jan Govaerts

Contrary to the conventional view point of quantization that breaks the gauge symmetry, a gauge invariant formulation of quantum electrodynamics is proposed. Instead of fixing the gauge, some frame is chosen to yield the locally invariant…

High Energy Physics - Theory · Physics 2007-05-23 Taro Kashiwa , Yasushi Takahashi

The Quantum renormalization group (QRG) is a realisation of holography through a coarse graining prescription that maps the beta functions of a quantum field theory thought to live on the `boundary' of some space to holographic actions in…

General Relativity and Quantum Cosmology · Physics 2017-03-15 Vasudev Shyam

Discrete finite-group global symmetries may suffer from nonperturbative 't-Hooft anomalies. Such global anomalies can be canceled by anomalous symmetry-preserving topological quantum field theories (TQFTs), which contain no local point…

High Energy Physics - Theory · Physics 2026-01-30 Zheyan Wan , Juven Wang

The vacuum dependence on boundary conditions in quantum field theories is analysed from a very general viewpoint. From this perspective the renormalization prescriptions not only imply the renormalization of the couplings of the theory in…

High Energy Physics - Theory · Physics 2008-11-26 M. Asorey , D. Garcia-Alvarez , J. M. Munoz-Castaneda

We treat Mechanics as a 1-dimensional general-relativistic gauge field theory, Mechanical Field Theory (MFT), introducing what we call the Mechanical Field Space (MFS) and exploiting its bundle geometry. The diffeomorphism covariance of MFT…

General Physics · Physics 2025-11-04 J. François , L. Ravera

We develop a dynamic field-theoretic renormalization-group (RG) theory for the cooling first-order phase transitions in the Potts model. It is suggested that the well-known imaginary fixed points of the $q$-state Potts model for $q>10/3$ in…

Statistical Mechanics · Physics 2017-03-22 Ning Liang , Fan Zhong

We study conformal field theories (CFTs) and their classifications from a modern perspective based on the abstract algebraic formalism of symmetries or conserved charges, known as symmetry topological field theories (SymTFTs). By studying…

High Energy Physics - Theory · Physics 2026-04-10 Yoshiki Fukusumi , Taishi Kawamoto