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Recently it was proposed that the theory space of effective field theories with consistent UV completions can be described as a positive geometry, termed the EFThedron. In this paper we demonstrate that at the core, the geometry is given by…

高能物理 - 理论 · 物理学 2022-04-15 Li-Yuan Chiang , Yu-tin Huang , Wei Li , Laurentiu Rodina , He-Chen Weng

Effective field theories that manifest UV/IR mode mixing in such a way as to be valid for arbitrarily large volumes, can be used for gravitational, non-black hole events to be accounted for. In formulating such theories with a large number…

广义相对论与量子宇宙学 · 物理学 2014-11-20 R. Horvat

Any theory of quantum gravity must ultimately be connected to observations. This demand is difficult to be met due to the high energies at which we expect the quantum nature of gravity to become manifest. Here we study, how viable quantum…

广义相对论与量子宇宙学 · 物理学 2015-05-30 Astrid Eichhorn

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…

高能物理 - 理论 · 物理学 2018-04-04 Claudia de Rham , Scott Melville , Andrew J. Tolley , Shuang-Yong Zhou

Positivity bounds coming from consistency of UV scattering amplitudes are in general insufficient to prove the weak gravity conjecture for theories beyond Einstein-Maxwell. Additional ingredients about the UV may be necessary to exclude…

高能物理 - 理论 · 物理学 2020-11-20 Gregory J. Loges , Toshifumi Noumi , Gary Shiu

We explore how the IR pathologies of noncommutative field theory are resolved when the theory is realized as open strings in background B-fields: essentially, since the IR singularities are induced by UV/IR mixing, string theory brings them…

高能物理 - 理论 · 物理学 2009-11-11 Steven Abel , Chong-Sun Chu , Mark Goodsell

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…

高能物理 - 理论 · 物理学 2022-02-22 Lasma Alberte , Claudia de Rham , Sumer Jaitly , Andrew J. Tolley

We investigate whether the effective theory for isolated, massive, and weakly interacting spin-$3/2$ particles is compatible with causality and unitarity-i.e., the positivity of scattering amplitudes. We find no solution to positivity…

高能物理 - 理论 · 物理学 2025-07-18 Brando Bellazzini , Alex Pomarol , Marcello Romano , Francesco Sciotti

Fundamental principles of local quantum field theory or of quantum gravity can enforce consistency requirements on the space of consistent low-energy effective field theories. We survey the various techniques that have been used to put UV…

高能物理 - 理论 · 物理学 2022-09-08 Claudia de Rham , Sandipan Kundu , Matthew Reece , Andrew J. Tolley , Shuang-Yong Zhou

We propose a scenario with string theory in the deep ultraviolet, an intermediate asymptotically safe scaling regime for gravity and matter, and the Standard Model in the infrared. This could provide a new perspective to tackle challenges…

高能物理 - 理论 · 物理学 2019-11-18 Senarath de Alwis , Astrid Eichhorn , Aaron Held , Jan M. Pawlowski , Marc Schiffer , Fleur Versteegen

Using unitarity, analyticity and crossing symmetry, we derive universal sum rules for scattering amplitudes in theories invariant under an arbitrary symmetry group. The sum rules relate the coefficients of the energy expansion of the…

高能物理 - 理论 · 物理学 2015-06-19 Brando Bellazzini , Luca Martucci , Riccardo Torre

We highlight how the existence of an ultraviolet completion for interacting Standard-Model type matter puts constraints on the viable microscopic dynamics of asymptotically safe quantum gravity within truncated Renormalization Group flows.…

广义相对论与量子宇宙学 · 物理学 2017-12-01 Astrid Eichhorn , Aaron Held

We discuss the renormalisation group flow of all essential couplings of quantum gravity coupled to a shift-symmetric scalar field at fourth order in the derivative expansion. We derive the global structure of the phase diagram, and identify…

高能物理 - 理论 · 物理学 2023-10-20 Benjamin Knorr

Positivity bounds - constraints on any low-energy effective field theory imposed by the fundamental axioms of unitarity, causality and locality in the UV - have recently been used to constrain scalar-tensor theories of dark energy. However,…

宇宙学与河外天体物理 · 物理学 2022-02-08 Claudia de Rham , Scott Melville , Johannes Noller

We consider positivity constraints applicable to the Effective Field Theory (EFT) of gravity in arbitrary dimensions. By considering scattering of indefinite initial and final states, we highlight the existence of a gravitational scattering…

高能物理 - 理论 · 物理学 2022-12-12 Claudia de Rham , Sumer Jaitly , Andrew J. Tolley

We study the spectrum of pure massless higher spin theories in $AdS_3$. The light spectrum is given by a tower of massless particles of spin $s=2,\cdots,N$ and their multi-particles states. Their contribution to the torus partition function…

高能物理 - 理论 · 物理学 2020-12-30 Luis F. Alday , Jin-Beom Bae , Nathan Benjamin , Carmen Jorge-Diaz

Conformal symmetry always played an important role in field theory (both quantum and classical) and in gravity. We present construction of quantum conformal gravity and discuss its features regarding scattering amplitudes and quantum…

高能物理 - 理论 · 物理学 2018-12-18 Leslaw Rachwal

Superstring field theory gives expressions for heterotic and type II string loop amplitudes that are free from ultraviolet and infrared divergences when the number of non-compact space-time dimensions is five or more. We prove the…

高能物理 - 理论 · 物理学 2018-01-17 Ashoke Sen

We study graviton scattering amplitudes. Assuming they are UV completed by a theory of weakly coupled massive higher spins, we demonstrate that the UV completion must possess infinitely many Regge trajectories, and thus they are forced to…

高能物理 - 理论 · 物理学 2025-12-22 Christopher Eckner , Felipe Figueroa , Simon Metayer , Piotr Tourkine

The weak gravity conjecture states that quantum gravity theories have to contain a charged state with a charge-to-mass ratio bigger than unity. By studying unitarity and causality constraints on higher derivative corrections to the…

高能物理 - 理论 · 物理学 2019-08-07 Yuta Hamada , Toshifumi Noumi , Gary Shiu
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