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The construction of conformally invariant gauge conditions for Maxwell and Einstein theories on a manifold M is found to involve two basic ingredients. First, covariant derivatives of a linear gauge (e.g. Lorenz or de Donder), completely…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Giampiero Esposito , Cosimo Stornaiolo

Perturbation theory in geometric theories of gravitation is a gauge theory of symmetric tensors defined on a Lorentzian manifold (the background spacetime). The gauge freedom makes uniqueness problems in perturbation theory particularly…

General Relativity and Quantum Cosmology · Physics 2024-10-03 Marc Mars , Borja Reina , Raül Vera

Fractons are exotic quasiparticles whose mobility in space is restricted by symmetries. In potential real-world realisations, fractons are likely lodged to a physical material rather than absolute space. Motivated by this, we propose and…

High Energy Physics - Theory · Physics 2026-05-22 Akash Jain

The new phase of a gauge theory in which the instantons are ``polarized'', i.e. have the preferred orientation is discussed. A class of gauge theories with the specific condensates of the scalar fields is considered. In these models there…

High Energy Physics - Theory · Physics 2009-10-30 M. Yu. Kuchiev

Quantization of Free Fields: The non-interacting field belonging to a new {\bf SO(1,3)\/} gauge field theory equivalent to General Relativity is canonically quantized in the Lorentz gauge and the physical Fock space for free gauge particles…

High Energy Physics - Theory · Physics 2019-05-20 C Wiesendanger

We show that there exists a natural analogue of the Yang-Mills equations using the Fr\"olicher-Nijenhuis bracket between vector-valued differential forms. The gauge field is a rank-two tensor, and when one constrains it to be symmetric,…

High Energy Physics - Theory · Physics 2025-01-07 Erica Bertolini , Hyungrok Kim

Parity and CP symmetries are broken in the world around us. Nonetheless, parity (or CP) may be a gauge symmetry which is higgsed in our universe. This is assumed in many scenarios for physics beyond the Standard Model, including the classic…

High Energy Physics - Theory · Physics 2022-12-05 Jacob McNamara , Matthew Reece

Extended Theories of Gravity can be considered a new paradigm to cure shortcomings of General Relativity at infrared and ultraviolet scales. They are an approach that, by preserving the undoubtedly positive results of Einstein's Theory, is…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Salvatore Capozziello , Mariafelicia De Laurentis

We study new consistent scalar-tensor theories of gravity recently introduced by Langlois and Noui with potentially interesting cosmological applications. We derive the conditions for the existence of a primary constraint that prevents the…

High Energy Physics - Theory · Physics 2016-04-22 Marco Crisostomi , Kazuya Koyama , Gianmassimo Tasinato

We consider the gravitational correction to the running of gauge coupling. Weak gravity conjecture implies that the gauge theories break down when the gravitational correction becomes greater than the contribution from gauge theories. This…

High Energy Physics - Theory · Physics 2010-10-27 Qing-Guo Huang

We consider the scalar-tensor theories of gravity extended by the pseudoscalar couplings to matter and gauge fields and derive constraints on the CP-odd combinations of scalar and pseudoscalar couplings from laboratory spin precession…

High Energy Physics - Phenomenology · Physics 2010-01-15 Victor Flambaum , Simon Lambert , Maxim Pospelov

Transverse Diffeomorphism (TDiff) theories are well-motivated theories of gravity from the quantum perspective, which are based upon a gauge symmetry principle. The main contribution of this work is to firmly establish a correspondence…

High Energy Physics - Theory · Physics 2012-05-23 J. J. Lopez-Villarejo

We consider an extended theory of Horava-Lifshitz gravity with the detailed balance condition softly breaking, but without the projectability condition. With the former, the number of independent coupling constants is significantly reduced.…

High Energy Physics - Theory · Physics 2012-03-01 Tao Zhu , Fu-Wen Shu , Qiang Wu , Anzhong Wang

We study novel three-dimensional gapped quantum phases of matter which support quasiparticles with restricted mobility, including immobile "fracton" excitations. So far, most existing fracton models may be instructively viewed as…

Strongly Correlated Electrons · Physics 2019-04-10 Hao Song , Abhinav Prem , Sheng-Jie Huang , M. A. Martin-Delgado

In the case of non-abelian gauge theories, the standard Faddeev-Popov (FP) gauge-fixing procedure in the Landau gauge is known to be incomplete due to the presence of gauge-equivalent field configurations. A widespread belief is that the…

High Energy Physics - Theory · Physics 2020-09-11 Urko Reinosa

We investigate a non-minimally coupled scalar field theory within the framework of scalar-tensor gravity formulated in non-metricity geometry, focusing on spatially curved FLRW spacetimes. Employing the dynamical systems approach with…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Ghulam Murtaza , Avik De , Andronikos Paliathanasis

We discuss some of the issues which we encounter when we try to invoke the scalar-tensor theories of gravitation as a theoretical basis of quintessence. One of the advantages of appealing to these theories is that they allow us to implement…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Yasunori Fujii

A covariant Hamiltonian description of Palatini's gravity on manifolds with boundary is presented. Palatini's gravity appears as a gauge theory satisfying a constraint in a certain topological limit. This approach allows the consideration…

Mathematical Physics · Physics 2016-05-12 Alberto Ibort , Amelia Spivak

Gauge fields in exotic representations of the Lorentz group in D dimensions - i.e. ones which are tensors of mixed symmetry corresponding to Young tableaux with arbitrary numbers of rows and columns - naturally arise through massive string…

High Energy Physics - Theory · Physics 2009-11-07 P. de Medeiros , C. Hull

Deformations of maximal supergravity theories induced by gauging non-abelian subgroups of the duality group reveal the presence of charged M-theory degrees of freedom that are not necessarily contained in supergravity. The relation with…

High Energy Physics - Theory · Physics 2009-11-19 Bernard de Wit , Hermann Nicolai , Henning Samtleben