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Related papers: Positivity Bounds without Boosts

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We re-examine the constraints imposed by causality and unitarity on the low-energy effective field theory expansion of four-particle scattering amplitudes, exposing a hidden "totally positive" structure strikingly similar to the positive…

High Energy Physics - Theory · Physics 2023-01-11 Nima Arkani-Hamed , Tzu-Chen Huang , Yu-tin Huang

In the context of quantum gravitational systems, we place bounds on regions in field space with slowly varying positive potentials. Using the fact that $V<\Lambda_s^2$, where $\Lambda_s(\phi)$ is the species scale, and the emergent string…

High Energy Physics - Theory · Physics 2023-06-13 Damian van de Heisteeg , Cumrun Vafa , Max Wiesner , David H. Wu

In this paper we prove novel lower bounds for the Ginzburg-Landau energy with or without magnetic field. These bounds rely on an improvement of the "vortex balls construction" estimates by extracting a new positive term in the energy lower…

Analysis of PDEs · Mathematics 2007-05-23 Sylvia Serfaty , Ian Tice

We compute the asymptotic safety landscape stemming from ultraviolet-complete photon-graviton flows in a field theoretic setup, and we confront it with the weak gravity conjecture and, for the first time, with positivity bounds. At fourth…

High Energy Physics - Theory · Physics 2024-08-13 Benjamin Knorr , Alessia Platania

We derive rigorous bounds on corrections to Einstein gravity using unitarity and analyticity of graviton scattering amplitudes. In $D\geq 4$ spacetime dimensions, these consistency conditions mandate positive coefficients for certain…

High Energy Physics - Theory · Physics 2016-04-06 Brando Bellazzini , Clifford Cheung , Grant N. Remmen

The cosmological constant problem and the absence of new natural physics at the electroweak scale, if confirmed by the LHC, may either indicate that the nature is fine-tuned or that a refined notion of naturalness is required. We construct…

High Energy Physics - Theory · Physics 2015-06-16 Sergei Dubovsky , Victor Gorbenko , Mehrdad Mirbabayi

Effective Field Theory (EFT) provides a powerful framework that exploits a separation of scales in physical systems to perform systematically improvable, model-independent calculations. Particularly interesting are few-body systems with…

Nuclear Theory · Physics 2009-11-11 H. -W. Hammer

A number of different approaches to quantum gravity are at least partly phenomenologically characterized by their treatment of Lorentz symmetry, in particular whether the symmetry is exact or modified/broken at the smallest scales. For…

General Relativity and Quantum Cosmology · Physics 2012-08-16 Stefano Liberati , David Mattingly

Effective field theories are constrained by the requirement that their constituents never move superluminally on non-trivial backgrounds. In this paper, we study time delays experienced by photons propagating on charged shockwave…

High Energy Physics - Theory · Physics 2024-12-11 Sera Cremonini , Brian McPeak , Mohammad Moezzi , Muthusamy Rajaguru

Effective Field Theory (EFT) provides a powerful framework that exploits a separation of scales in physical systems to perform systematically improvable, model-independent calculations. Particularly interesting are few-body systems with…

Nuclear Theory · Physics 2009-11-11 H. -W. Hammer

Constraints on possible Lorentz invariance violation (LIV) to first order in $E/M_{\rm Planck}$ for photons in the framework of effective field theory (EFT) are discussed, taking cosmological factors into account. Then, using the reported…

High Energy Astrophysical Phenomena · Physics 2015-05-27 Floyd W. Stecker

In this letter, we study the implications of unitary completion of quantum gravity on the low energy spectrums, through an infinite set of unitarity bounds on the forward-limit scattering amplitudes. In three dimensions, we find that light…

High Energy Physics - Theory · Physics 2019-07-31 Wei-Ming Chen , Yu-tin Huang , Toshifumi Noumi , Congkao Wen

Phonons in solid materials can be understood as the Goldstone bosons of the spontaneously broken spacetime symmetries. As such their low energy dynamics are greatly constrained and can be captured by standard effective field theory (EFT)…

High Energy Physics - Theory · Physics 2020-06-11 Lasma Alberte , Matteo Baggioli , Victor Cancer Castillo , Oriol Pujolas

Effective Field Theory (EFT) provides a powerful framework that exploits a separation of scales in physical systems to perform systematically improvable, model-independent calculations. Particularly interesting are few-body systems with…

Other Condensed Matter · Physics 2009-11-10 H. -W. Hammer

We compute the causality/positivity bounds on the Wilson coefficients of scalar-tensor effective field theories. Two-sided bounds are obtained by extracting IR information from UV physics via dispersion relations of scattering amplitudes,…

High Energy Physics - Theory · Physics 2023-10-24 Dong-Yu Hong , Zhuo-Hui Wang , Shuang-Yong Zhou

We take an Effective Field Theory (EFT) approach to unifying existing proposals for the origin of cosmic acceleration and its connection to cosmological observations. Building on earlier work where EFT methods were used with observations to…

Cosmology and Nongalactic Astrophysics · Physics 2013-09-24 Jolyon K. Bloomfield , Éanna É. Flanagan , Minjoon Park , Scott Watson

Scattering amplitudes mediated by graviton exchange display IR singularities in the forward limit. This obstructs standard application of positivity bounds based on twice subtracted dispersion relations. Such divergences can be cancelled…

High Energy Physics - Theory · Physics 2022-11-23 M. Herrero-Valea , A. S. Koshelev , A. Tokareva

In this paper, we study the effective field theory (EFT) of dark energy for the $k$-essence model beyond linear order. Using particle-mesh $N$-body simulations that consistently solve the dark energy evolution on a grid, we find that the…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-19 Farbod Hassani , Julian Adamek , Martin Kunz , Pan Shi , Peter Wittwer

In the light-front form of field theory, boost invariance is a manifest symmetry. On the downside, parity and rotational invariance are not manifest, leaving the possibility that approximations or incorrect renormalization might lead to…

High Energy Physics - Phenomenology · Physics 2014-11-17 Matthias Burkardt

We distinguish between the notions of asymptotic causality and infrared causality for gravitational effective field theories, and show that the latter gives constraints consistent with gravitational positivity bounds. We re-explore the…

High Energy Physics - Theory · Physics 2022-03-23 Calvin Y. -R. Chen , Claudia de Rham , Aoibheann Margalit , Andrew J. Tolley
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