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A series of sigma models with torsion are analysed which generate their mass dynamically but whose ultra-violet fixed points are non-trivial conformal field theories -- in fact SU(2) WZW models at level $k$. In contrast to the more familiar…

High Energy Physics - Theory · Physics 2009-10-28 Jonathan M. Evans , Timothy J. Hollowood

Integrable Quantum Field Theories can be solved exactly using bootstrap techniques based on their elastic and factorisable S-matrix. While knowledge of the scattering amplitudes reveals the exact spectrum of particles and their on-shell…

Statistical Mechanics · Physics 2023-03-30 M. Lencsés , G. Mussardo , G. Takács

The combination of integrability and crossing symmetry has proven to give tight non-perturbative bounds on some planar structure constants in $\mathcal{N}$=4 SYM, particularly in the setup of defect observables built on a Wilson-Maldacena…

High Energy Physics - Theory · Physics 2023-12-20 Andrea Cavaglià , Nikolay Gromov , Michelangelo Preti

High sensitivity quantum interferometry requires more than just access to entangled states. It is achieved through deep understanding of quantum correlations in a system. Integrable models offer the framework to develop this understanding.…

Quantum Physics · Physics 2022-05-31 D. S. Grun , L. H. Ymai , Karin Wittmann Wilsmann , A. P. Tonel , A. Foerster , J. Links

The renormalized zero-momentum four-point coupling $g_r$ of O(N)-invariant scalar field theories in $d$ dimensions is studied by applying the 1/N expansion and strong coupling analysis. The O(1/N) correction to the $\beta$-function and to…

High Energy Physics - Lattice · Physics 2009-10-28 M. Campostrini , A. Pelissetto , P. Rossi , E. Vicari

Based on conformal symmetry we propose an exact formula for the four-point connectivities of FK clusters in the critical Ising model when the four points are anchored to the boundary. The explicit solution we found displays logarithmic…

Statistical Mechanics · Physics 2017-11-08 Giacomo Gori , Jacopo Viti

We demonstrate that the Ising model on a general triangular graph with 3 distinct couplings $K_1,K_2,K_3$ corresponds to an affine transformed conformal field theory (CFT). Full conformal invariance of the $c= 1/2$ minimal CFT is restored…

High Energy Physics - Theory · Physics 2023-08-02 Richard C. Brower , Evan K. Owen

Using integrability techniques, we compute four-point functions of single trace gauge-invariant operators in N=4 SYM to leading order at weak coupling. Our results are valid for operators of arbitrary size. In particular, we study the limit…

High Energy Physics - Theory · Physics 2011-10-11 Joao Caetano , Jorge Escobedo

Quantum field theory (QFT) describes nature using continuous fields, but physical properties of QFT are usually revealed in terms of measurements of observables at a finite resolution. We describe a multiscale representation of a free…

The renormalized zero-momentum four-point coupling $g_r$ of $O(N)$-invariant scalar field theories in $d$ dimensions is studied by applying the $1/N$ expansion and strong coupling analysis. The $O(1/N)$ correction to the $\beta$-function…

High Energy Physics - Lattice · Physics 2009-10-28 M. Campostrini , A. Pelissetto , P. Rossi , E. Vicari

An approach to the construction of the CNOT quantum logic gate for a 4-dimensional coupled-qubit model with weak but otherwise arbitrary coupling has been given recently [M. R. Geller et al., Phys. Rev. A, 012320 (2010)]. How does the…

Quantum Physics · Physics 2010-06-01 Joydip Ghosh , Michael R. Geller

In this paper we propose a kind of quantum inductance couplers (QUINC) which represents a superconducting loop closed by ScS quantum point contact, operating in deep quantum low-temperature regime to provide tunable (Ising-type) ZZ…

Superconductivity · Physics 2014-12-30 A. A. Soroka , V. I. Shnyrkov

We show that the coupling constant of a quantum-induced composite field is scale invariant due to its compositeness condition. It is first demonstrated in next-to-leading order in 1/N in typical models, and then we argue that it holds…

High Energy Physics - Theory · Physics 2009-11-10 Keiichi Akama , Takashi Hattori

The quantum transfer matrix (QTM) approach to integrable lattice Fermion systems is presented. As a simple case we treat the spinless Fermion model with repulsive interaction in critical regime. We derive a set of non-linear integral…

Statistical Mechanics · Physics 2019-12-20 Kazumitsu Sakai , Masahiro Shiroishi , Junji Suzuki , Yukiko Umeno

There has been recent progress on computing real-time equilibrium 3-point functions in finite-temperature strongly-coupled N=4 super Yang-Mills (SYM). In this paper, we show an example of how to carry out a similar analysis for a 4-point…

High Energy Physics - Theory · Physics 2015-05-30 Peter Arnold , Diana Vaman

The measurement process is considered for quantum field theory on curved spacetimes. Measurements are carried out on one QFT, the "system", using another, the "probe" via a dynamical coupling of "system" and "probe" in a bounded spacetime…

Mathematical Physics · Physics 2020-07-27 Christopher J. Fewster , Rainer Verch

A structural explanation of the coupling constants in the standard model, i.e the fine structure constant and the Weinberg angle, and of the gauge fixing contributions is given in terms of symmetries and representation theory. The coupling…

Quantum Physics · Physics 2008-11-26 H. Saller , R. Breuninger , M. Haft

The generating functional of a self-interacting scalar quantum field theory (QFT), which contains all the relevant information about real-time dynamics and scattering experiments, can be mapped onto a collection of multipartite-entangled…

Quantum Physics · Physics 2022-09-19 G. Martín-Vázquez , G. Aarts , M. Müller , A. Bermudez

We introduce the framework of Quantum Field Theories in general backgrounds through the lens of the path integral, in the formulation known as the Functorial QFT. With the aim of studying properties of strongly coupled QFTs, we present key…

High Energy Physics - Theory · Physics 2026-05-07 Jonáš Dujava

We present a construction of the integrand of the correlation function of four stress-tensor multiplets in N=4 SYM at weak coupling. It does not rely on Feynman diagrams and makes use of the recently discovered symmetry of the integrand…

High Energy Physics - Theory · Physics 2015-06-03 Burkhard Eden , Paul Heslop , Gregory P. Korchemsky , Emery Sokatchev
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