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We investigate the analytic structure of scattering amplitudes in theories in which Lorentz invariance is spontaneously broken. We do so by computing and studying the S-matrix for a simple example: a superfluid described by a complex scalar…

High Energy Physics - Theory · Physics 2023-12-15 Lam Hui , Ioanna Kourkoulou , Alberto Nicolis , Alessandro Podo , Shengjia Zhou

We argue that certain apparently consistent low-energy effective field theories described by local, Lorentz-invariant Lagrangians, secretly exhibit macroscopic non-locality and cannot be embedded in any UV theory whose S-matrix satisfies…

High Energy Physics - Theory · Physics 2009-11-11 Allan Adams , Nima Arkani-Hamed , Sergei Dubovsky , Alberto Nicolis , Riccardo Rattazzi

We derive positivity bounds on low energy effective field theories which admit gapped, analytic, unitary, Lorentz invariant, and possibly non-local UV completions, by considering 2 to 2 scatterings of Jaffe fields whose…

High Energy Physics - Theory · Physics 2019-06-14 Junsei Tokuda

It has been shown that some Lorentz-invariant quantum field theories, such as those with higher-dimensional operators with negative coefficients, lead to superluminality on some classical backgrounds. While superluminality by itself is not…

High Energy Physics - Theory · Physics 2025-02-19 David E. Kaplan , Surjeet Rajendran , Francesco Serra

S-matrix bootstrap and positivity bounds are usually viewed as constraints on low-energy theories imposed by the requirement of a standard UV completion. By considering graviton--photon scattering in the Standard Model, we argue that the…

High Energy Physics - Theory · Physics 2022-02-22 Lasma Alberte , Claudia de Rham , Sumer Jaitly , Andrew J. Tolley

For a low energy effective theory to admit a standard local, unitary, analytic and Lorentz-invariant UV completion, its scattering amplitudes must satisfy certain inequalities. While these bounds are known in the forward limit for real…

High Energy Physics - Theory · Physics 2018-04-04 Claudia de Rham , Scott Melville , Andrew J. Tolley , Shuang-Yong Zhou

The idea that the existence of a consistent UV completion satisfying the fundamental axioms of local quantum field theory or string theory may impose positivity constraints on the couplings of the leading irrelevant operators in a…

High Energy Physics - Theory · Physics 2008-11-26 G. M. Shore

A relativistic theory for neutrino superluminality is presented (in principle, the same mechanism applies also to other fermions). The theory involves the standard-model particles and one additional heavy sterile neutrino with an…

High Energy Physics - Phenomenology · Physics 2017-08-23 F. R. Klinkhamer

The low energy $S$-matrix which describes non-relativistic scattering arising from finite-range forces has UV/IR symmetries that are hidden in the corresponding effective field theory (EFT) action. It is shown that the $S$-matrix symmetries…

High Energy Physics - Phenomenology · Physics 2022-05-24 Silas R. Beane , Roland C. Farrell

The transmission characteristics of a spherical (possibly multilayered) particle of arbitrary size under focused illumination are discussed within the generalized Lorenz-Mie theory. Expressions generalizing the total extinction and…

Optics · Physics 2015-06-19 Markus Selmke , Frank Cichos

Very high-energy astrophysical gamma rays suffer a suppression of their flux along their propagation due to their interaction, through the $\gamma\gamma\to e^+e^-$ pair-production process, with the soft photon backgrounds present in the…

High Energy Physics - Phenomenology · Physics 2024-10-03 J. M. Carmona , J. L. Cortés , F. Rescic , M. A. Reyes , T. Terzić , F. I. Vrban

Although Lorentz symmetry has been tested at low energy with extremely good accuracy, its validity at very high energy is much less well established. If Lorentz symmetry violation (LSV) is energy-dependent (e.g. $\propto E^2$), it can be of…

General Physics · Physics 2016-10-26 Luis Gonzalez-Mestres

The assumption of Lorentz invariance is one of the founding principles of Modern Physics and violation of it would have profound implications to our understanding of the universe. For instance, certain theories attempting a unified theory…

High Energy Astrophysical Phenomena · Physics 2019-08-14 Michael Daniel

Lorentz invariance violation (LIV) can have multiple consequences on very-high energy gamma rays' emission, propagation, and detection, such as energy-dependent photon group velocity, photon instability, vacuum birefringence, and modified…

High Energy Astrophysical Phenomena · Physics 2025-09-19 Tomislav Terzić , Karlo Mrakovčić

Superstring field theory expresses the perturbative S-matrix of superstring theory as a sum of Feynman diagrams each of which is manifestly free from ultraviolet divergences. The interaction vertices fall off exponentially for large…

High Energy Physics - Theory · Physics 2018-05-04 Roji Pius , Ashoke Sen

The s-wave nucleon-nucleon (NN) scattering matrix ($S$-matrix) exhibits UV/IR symmetries which are hidden in the effective field theory (EFT) action and scattering amplitudes, and which explain some generic features of the phase shifts.…

Nuclear Theory · Physics 2022-05-18 Silas R. Beane , Roland C. Farrell

We bootstrap the S-matrix of massless particles in unitary, relativistic two dimensional quantum field theories. We find that the low energy expansion of such S-matrices is strongly constrained by the existence of a UV completion. In the…

High Energy Physics - Theory · Physics 2021-02-05 Joan Elias Miro , Andrea L. Guerrieri , Aditya Hebbar , Joao Penedones , Pedro Vieira

The well-known diffusion theory describes propagation of light and electromagnetic waves in complex media. While diffusion theory is known to fail both for predominant forward scattering or strong absorption, its precise range of validity…

Optics · Physics 2019-04-08 Maryna L. Meretska , Ravitej Uppu , Ad Lagendijk , Willem L. Vos

By calculating all terms of the high-density expansion of the euclidean random matrix theory (up to second-order in the inverse density) for the vibrational spectrum of a topologically disordered system we show that the low-frequency…

Disordered Systems and Neural Networks · Physics 2015-05-18 Carl Ganter , Walter Schirmacher

For a class of negative slowly decaying potentials, including $V(x):=-\gamma|x|^{-\mu}$ with $0<\mu<2$, we study the quantum mechanical scattering theory in the low-energy regime. Using modifiers of the Isozaki-Kitada type we show that…

Mathematical Physics · Physics 2007-12-04 Jan Derezinski , Erik Skibsted
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