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Related papers: Injecting the UV into the Bootstrap: Ising Field T…

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We propose scattering matrices for N=1 supersymmetric integrable quantum field theories in 1+1 dimensions which involve unstable particles in their spectra. By means of the thermodynamic Bethe ansatz we analyze the ultraviolet behaviour of…

High Energy Physics - Theory · Physics 2009-11-10 Andreas Fring

We study the conformal bootstrap constraints for 3D conformal field theories with a $\mathbb{Z}_2$ or parity symmetry, assuming a single relevant scalar operator $\epsilon$ that is invariant under the symmetry. When there is additionally a…

High Energy Physics - Theory · Physics 2018-12-05 Alexander Atanasov , Aaron Hillman , David Poland

In this work we apply the S-matrix bootstrap maximization program to the 2d bosonic O(N) integrable model which has N species of scalar particles of mass m and no bound states. Since in previous studies theories were defined by maximizing…

High Energy Physics - Theory · Physics 2018-12-05 Yifei He , Andrew Irrgang , Martin Kruczenski

We initiate the S-matrix bootstrap analysis of theories with non-invertible symmetries in (1+1) dimensions. Our previous work showed that crossing symmetry of S-matrices in such theories is modified, with modification characterized by the…

High Energy Physics - Theory · Physics 2024-11-04 Christian Copetti , Lucia Cordova , Shota Komatsu

We use the numerical conformal bootstrap to study boundary quantum electrodynamics, the theory of a four dimensional photon in a half space coupled to charged conformal matter on the boundary. This system is believed to be a boundary…

High Energy Physics - Theory · Physics 2023-12-14 Samuel Bartlett-Tisdall , Christopher P. Herzog , Vladimir Schaub

We develop the conformal bootstrap program for six-dimensional conformal field theories with $(2,0)$ supersymmetry, focusing on the universal four-point function of stress tensor multiplets. We review the solution of the superconformal Ward…

High Energy Physics - Theory · Physics 2016-01-27 Christopher Beem , Madalena Lemos , Leonardo Rastelli , Balt C. van Rees

We implement the conformal bootstrap for N=4 superconformal field theories in four dimensions. Consistency of the four-point function of the stress-energy tensor multiplet imposes significant upper bounds for the scaling dimensions of…

High Energy Physics - Theory · Physics 2022-08-22 Christopher Beem , Leonardo Rastelli , Balt C. van Rees

We study the second-order phase transition in the $d$-dimensional Ising model with long-range interactions decreasing as a power of the distance $1/r^{d+s}$. For $s$ below some known value $s_*$, the transition is described by a conformal…

High Energy Physics - Theory · Physics 2017-08-24 Connor Behan , Leonardo Rastelli , Slava Rychkov , Bernardo Zan

Pure $T\bar{T}$ deformations of conformal field theories are generally asymptotically incomplete in the ultra-violet (UV) due to square-root singularities in the ground state energy on a cylinder of circumference $R$, such that the theory…

High Energy Physics - Theory · Physics 2022-11-18 André LeClair

We study the conformal bootstrap for 4-point functions of stress tensors in parity-preserving 3d CFTs. To set up the bootstrap equations, we analyze the constraints of conformal symmetry, permutation symmetry, and conservation on the…

High Energy Physics - Theory · Physics 2018-04-04 Anatoly Dymarsky , Filip Kos , Petr Kravchuk , David Poland , David Simmons-Duffin

We implement the conformal bootstrap program for three-dimensional CFTs with $\mathcal{N}=2$ supersymmetry and find universal constraints on the spectrum of operator dimensions in these theories. By studying the bounds on the dimension of…

High Energy Physics - Theory · Physics 2015-08-11 Nikolay Bobev , Sheer El-Showk , Dalimil Mazac , Miguel F. Paulos

Using numerical conformal bootstrap technology we perform a non-perturbative study of the Ising CFT and its spectrum from infinitesimal to finite values of $\varepsilon=4-d$. Exploiting the recent navigator bootstrap method in conjunction…

High Energy Physics - Theory · Physics 2023-03-22 Johan Henriksson , Stefanos R. Kousvos , Marten Reehorst

Motivated by recent discussions of IR/UV mixing in noncommutative field theories, we perform a detailed analysis of the non-planar amplitudes of the bosonic open string in the presence of an external B-field at the one-loop level. We…

High Energy Physics - Theory · Physics 2009-10-31 Hong Liu , Jeremy Michelson

We address the scattering problem in two-dimensional integrable models, focusing on the sine-Gordon theory. We use the S-matrix bootstrap approach based on analytical properties of the S-matrix to compute scattering amplitudes of the…

High Energy Physics - Theory · Physics 2023-11-29 Valeriia Stolbova

We study the constraints of crossing symmetry and unitarity in general 3D Conformal Field Theories. In doing so we derive new results for conformal blocks appearing in four-point functions of scalars and present an efficient method for…

High Energy Physics - Theory · Physics 2014-12-05 Sheer El-Showk , Miguel F. Paulos , David Poland , Slava Rychkov , David Simmons-Duffin , Alessandro Vichi

In this paper we study the phenomenon of UV/IR mixing in noncommutative field theories from the point of view of world-sheet open-closed duality in string theory. New infrared divergences in noncommutative field theories arise as a result…

High Energy Physics - Theory · Physics 2009-11-11 Swarnendu Sarkar

The modern S-Matrix Bootstrap provides non-perturbative bounds on low-energy aspects of scattering amplitudes, leveraging the constraints of unitarity, analyticity and crossing. Typically, the solutions saturating such bounds also saturate…

High Energy Physics - Theory · Physics 2023-10-12 António Antunes , Miguel S. Costa , José Pereira

L\"uscher has suggested a method to determine phase shifts from the finite volume dependence of the two-particle energy spectrum. We apply this to two models in d=2: (a) the Ising model, (b) a system of two Ising fields with different mass…

High Energy Physics - Lattice · Physics 2009-10-22 C. R. Gattringer , I. Hip , C. B. Lang

We revisit the effective field theory of the two Higgs doublet model at tree level. The introduction of a novel basis in the UV theory allows us to derive matching coefficients in the effective description that resum important contributions…

High Energy Physics - Phenomenology · Physics 2023-07-12 Ian Banta , Timothy Cohen , Nathaniel Craig , Xiaochuan Lu , Dave Sutherland

We study the statistical Ising model of spins on the infinite lattice using a bootstrap method that combines spin-flip identities with positivity conditions, including reflection positivity and Griffiths inequalities, to derive rigorous…

High Energy Physics - Theory · Physics 2022-07-04 Minjae Cho , Barak Gabai , Ying-Hsuan Lin , Victor A. Rodriguez , Joshua Sandor , Xi Yin