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In this paper, exact one-point functions of N=1 super-Liouville field theory in two-dimensional space-time with appropriate boundary conditions are presented. Exact results are derived both for the theory defined on a pseudosphere with…

High Energy Physics - Theory · Physics 2015-06-26 Changrim Ahn , Chaiho Rim , Marian Stanishkov

This thesis presents L\"uscher's $\mu$- and $F$-term corrections to volume dependence of non-diagonal finite volume form factors in the scaling Lee-Yang model. An explicit calculation proves the suspected relation that the $\mu$-terms known…

High Energy Physics - Theory · Physics 2019-08-29 Istvan Vona

In this paper we study the simplest massive 1+1 dimensional integrable quantum field theory which can be described as a perturbation of a non-unitary minimal conformal field theory: the Lee-Yang model. We are particularly interested in the…

High Energy Physics - Theory · Physics 2015-09-07 Davide Bianchini , Olalla A. Castro-Alvaredo , Benjamin Doyon

We describe several results concerning global quantum quenches from states with short-range correlations to quantum critical points whose low-energy properties are described by a 1+1-dimensional conformal field theory (CFT), extending the…

Statistical Mechanics · Physics 2016-02-26 John Cardy

The study of Finite Size Effects in Quantum Field Theory allows the extraction of precious perturbative and non-perturbative information. The use of scaling functions can connect the particle content (scattering theory formulation) of a QFT…

High Energy Physics - Theory · Physics 2017-08-23 Francesco Ravanini

We study some of the novel properties of conformal field theories with noncompact target spaces as applied to string theory. Standard CFT results get corrected by boundary terms in the target space in a way consistent with the expected…

High Energy Physics - Theory · Physics 2009-11-07 Per Kraus , Anton Ryzhov , Masaki Shigemori

Some concepts, such as non-compactness measure and condensing operators, defined on metric spaces are extended to uniform spaces. Such extensions allow us to locate, in the context of uniform spaces, some classical results existing in…

General Topology · Mathematics 2015-11-25 Raúl Fierro

We propose a new method for the computation of quantum three-point functions for operators in su(2) sectors of N=4 super Yang-Mills theory. The method is based on the existence of a unitary transformation relating inhomogeneous and…

High Energy Physics - Theory · Physics 2014-04-11 Yunfeng Jiang , Ivan Kostov , Florian Loebbert , Didina Serban

We introduce an approach to compute reduced density matrices for local quantum unitary circuits of finite depth and infinite width. Suppose the time-evolved state under the circuit is a matrix-product state with bond dimension $D$; then the…

Quantum Physics · Physics 2019-09-04 Sarang Gopalakrishnan , Austen Lamacraft

In this review we discuss recent advances in the computation of one-point functions in defect conformal field theories with holographic duals. We briefly review the appearance of integrable spin chains in N=4 super Yang--Mills theory and…

High Energy Physics - Theory · Physics 2020-08-26 Marius de Leeuw

We develop a general technique for computing functional integrals with fixed area and boundary length constraints. The correct quantum dimensions for the vertex functions are recovered by properly regularizing the Green function. Explicit…

High Energy Physics - Theory · Physics 2009-11-11 Pietro Menotti , Erik Tonni

This work is devoted to the derivation of novel analytic results for special functions which are particularly useful in wireless communication theory. Capitalizing on recently reported series representations for the Nuttall $Q{-}$function…

Information Theory · Computer Science 2015-05-14 Paschalis C. Sofotasios , Khuong Ho- Van , Tuan Dang Anh , Hung Dinh Quoc

Continuing the investigation started in a previous work, we consider form factors of integrable quantum field theories in finite volume, extending our investigation to matrix elements with disconnected pieces. Numerical verification of our…

High Energy Physics - Theory · Physics 2008-11-26 B. Pozsgay , G. Takacs

For holographic CFT states near the vacuum, entanglement entropies for spatial subsystems can be expressed perturbatively as an expansion in the one-point functions of local operators dual to light bulk fields. Using the connection between…

High Energy Physics - Theory · Physics 2016-07-20 Matthew J. S. Beach , Jaehoon Lee , Charles Rabideau , Mark Van Raamsdonk

We propose a holographic model for local quench in 1+1 dimensional Conformal Field Theory (CFT). The local quench is produced by joining two identical CFT's on semi-infinite lines. When these theories have a zero boundary entropy, we use…

High Energy Physics - Theory · Physics 2015-05-28 Amin Faraji Astaneh , Amir Esmaeil Mosaffa

The four dimensional $\mathcal{N}=4$ super-Yang-Mills (SYM) theory exhibits rich dynamics in the presence of codimension-one conformal defects. The new structure constants of the extended operator algebra consist of one-point functions of…

High Energy Physics - Theory · Physics 2020-08-26 Shota Komatsu , Yifan Wang

We calculate the multipoint Green functions in 1+1 dimensional integrable quantum field theories. We use the crossing formula for general models and calculate the 3 and 4 point functions taking in to account only the lower nontrivial…

High Energy Physics - Theory · Physics 2017-04-05 H. M. Babujian , M. Karowski , A. M. Tsvelik

We apply recently constructed functional bases to the numerical conformal bootstrap for 1D CFTs. We argue and show that numerical results in this basis converge much faster than the traditional derivative basis. In particular, truncations…

High Energy Physics - Theory · Physics 2020-02-17 Miguel F. Paulos , Bernardo Zan

Starting from the finite volume form factors of local operators, we show how and under which hypothesis the $c=1$ free boson conformal field theory in two-dimensions emerges as an effective theory governing the large-distance regime of…

Mathematical Physics · Physics 2021-06-28 K. K. Kozlowski , J. -M. Maillet

Motivated by quantum field theory (QFT) considerations, we present new representations of the Euler-Beta function and tree-level string theory amplitudes using a new two-channel, local, crossing symmetric dispersion relation. Unlike…

High Energy Physics - Theory · Physics 2024-05-29 Arnab Priya Saha , Aninda Sinha