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Witten described how a path integral quantization of Wilson Loop observables will define Jones polynomial type of link invariants, using the Chern-Simons gauge theory in $\mathbb{R}^3$. In this gauge theory, a compact Lie group ${\rm G}$,…

General Relativity and Quantum Cosmology · Physics 2026-01-08 Adrian P. C. Lim

In this paper, we systematically study gravitational waves (GWs) produced by remote compact astrophysical sources. To describe such GWs properly, we introduce three scales, $\lambda, \; L_c$ and $L$, denoting, respectively, the typical…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-30 Jared Fier , Xiongjun Fang , Bowen Li , Shinji Mukohyama , Anzhong Wang , Tao Zhu

The induced Einstein equation on a perturbed brane in the Induced Matter Theory is re-analyzed. We indicate that in a conformally flat background, the local quantum corrections to the Einstein equation can be obtained via the IMT. Using the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 P. Moyassari , S. Jalalzadeh

We bound EFT coefficients appearing in $2 \to 2$ photon scattering amplitudes in four dimensions. After reviewing unitarity and positivity conditions in this context, we use dispersion relations and crossing symmetry to compute sum rules…

High Energy Physics - Theory · Physics 2022-09-27 Johan Henriksson , Brian McPeak , Francesco Russo , Alessandro Vichi

Theories such as massive Galileons and massive gravity can satisfy the presently known improved positivity bounds provided they are weakly coupled. We discuss the form of the EFT Lagrangian for a weakly coupled UV completion of massive…

High Energy Physics - Theory · Physics 2018-05-09 Claudia de Rham , Scott Melville , Andrew J. Tolley

It is well known that a strictly massless spin-$3/2$ particle can interact consistently only within supergravity. Recently, positivity arguments have shown that an effective field theory of a massive Majorana spin-$3/2$ particle admits a…

High Energy Physics - Theory · Physics 2026-05-27 Jay Desai , Diptimoy Ghosh , Saurabh Pant

We consider the large-$D$ limit of Einstein gravity. It is observed that a consistent leading large-$D$ graph limit exists, and that it is built up by a subclass of planar diagrams. The graphs in the effective field theory extension of…

High Energy Physics - Theory · Physics 2010-04-05 N. E. J. Bjerrum-Bohr

We show how minimally-coupled matter fields of arbitrary spin, when coupled to Ricci-Based Gravity theories, develop non-trivial effective interactions that can be treated perturbatively only below a characteristic high-energy scale…

High Energy Physics - Theory · Physics 2021-11-03 Adria Delhom , Victor Miralles , Ana Peñuelas

I consider a pair of harmonic, electromagnetically coupled oscillators. Their dynamic coupling is allowed in the near field, that is, for frequencies roughly below ~c/r for virtual exchanges between two elementary entities. It is also valid…

General Physics · Physics 2007-05-23 C. P. Kouropoulos

It has been suggested that logarithmically enhanced infra-red loop corrections arising in theories with four derivatives correspond to a physical running of couplings, rendering quadratic gravity asymptotically free. We find that these…

High Energy Physics - Theory · Physics 2026-02-27 Alberto Salvio , Alessandro Strumia , Marco Vitti

In the first order of the fine structer constant, the polarization operator of a photon is investigated in a constant and homogeneous magnetic field at arbitrary photon energies. For weak and strong fields H, compared with the Schwinger…

High Energy Physics - Theory · Physics 2016-10-12 V. M. Katkov

Efforts to place limits on deviations from canonical formulations of electromagnetism and gravity have probed length scales increasing dramatically over time.Historically, these studies have passed through three stages: (1) Testing the…

High Energy Physics - Phenomenology · Physics 2014-11-18 Alfred Scharff Goldhaber , Michael Martin Nieto

In \cite{1808.03288}, logarithmic correction to subleading soft photon and soft graviton theorems have been derived in four spacetime dimensions from the ratio of IR-finite S-matrices. This has been achieved after factoring out IR-divergent…

High Energy Physics - Theory · Physics 2023-11-15 Hare Krishna , Biswajit Sahoo

We derive a generating function for all the 3-point functions of higher spin conserved currents in four dimensional conformal field theory. The resulting expressions have a rather surprising factorized form which suggest that they can all…

High Energy Physics - Theory · Physics 2015-06-05 Yassen S. Stanev

We review the topic of 4D Einstein-Gauss-Bonnet gravity, which has been the subject of considerable interest over the past two years. Our review begins with a general introduction to Lovelock's theorem, and the subject of Gauss-Bonnet terms…

General Relativity and Quantum Cosmology · Physics 2022-03-14 Pedro G. S. Fernandes , Pedro Carrilho , Timothy Clifton , David J. Mulryne

Using the gravitational potential and source multipole moments bilinear in the spins, first computed to next-to-leading order (NLO) in the post-Newtonian (PN) expansion within the effective field theory (EFT) framework, we complete here the…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Gihyuk Cho , Brian Pardo , Rafael A. Porto

We formulate an Effective Field Theory (EFT) for Non Standard neutrino Interactions (NSI) in elastic scattering with light quarks, leptons, gluons and photons, including all possible operators of dimension 5, 6 and 7. We provide the…

High Energy Physics - Phenomenology · Physics 2019-10-23 Wolfgang Altmannshofer , Michele Tammaro , Jure Zupan

We develop a generally applicable method for constructing functions, $C$, which have properties similar to Zamolodchikov's $C$-function, and are geometrically natural objects related to the theory space explored by non-perturbative…

High Energy Physics - Theory · Physics 2015-03-24 Daniel Becker , Martin Reuter

The Einstein equations are non-linear and the particles of which the gravitational effect is described by these equations are lastly unknown. If renormalizable fields are assumed, then results are obtained only in the case of a at space.…

General Physics · Physics 2016-11-25 Alfred Kording

We study the validity of positivity bounds in the presence of a massless graviton, assuming the Regge behavior of the amplitude. Under this assumption, the problematic $t$-channel pole is canceled with the UV integral of the imaginary part…

High Energy Physics - Theory · Physics 2020-12-02 Junsei Tokuda , Katsuki Aoki , Shin'ichi Hirano
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