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Expanding upon previous work, using the path-integral formalism we derive expressions for the one-particle reduced density matrix and the two-point correlation function for a quadratic system of bosons that interact through a general class…

Quantum Gases · Physics 2021-12-15 Timour Ichmoukhamedov , Jacques Tempere

Logarithmic Conformal Field Theories (LCFT) play a key role, for instance, in the description of critical geometrical problems (percolation, self avoiding walks, etc.), or of critical points in several classes of disordered systems…

High Energy Physics - Theory · Physics 2013-11-22 A. M. Gainutdinov , J. L. Jacobsen , N. Read , H. Saleur , R. Vasseur

In this work we perform a systematic study of the singularity structure of inflationary correlations at 1-loop. We explicitly compute a few diagrams and find a pattern emerging in the singularities produced. Motivated by this, we derive…

High Energy Physics - Theory · Physics 2025-03-31 Supritha Bhowmick , Mang Hei Gordon Lee , Diptimoy Ghosh , Farman Ullah

We investigate three-form gauge theories with higher derivative interactions and their supersymmetric extensions in four space-time dimensions. For the bosonic three-form gauge theories, we show that derivatives on the field strength of the…

High Energy Physics - Theory · Physics 2018-10-30 Muneto Nitta , Ryo Yokokura

In order to assess the role of ghosts in cosmology, we study the evolution of linear cosmological perturbations during inflation when a Weyl term is added to the action. Our main result is that vector perturbations can no longer be ignored…

General Relativity and Quantum Cosmology · Physics 2011-03-31 Nathalie Deruelle , Misao Sasaki , Yuuiti Sendouda , Ahmed Youssef

The bosonic beta-gamma ghost system has long been used in formal constructions of conformal field theory. It has become important in its own right in the last few years, as a building block of field theory approaches to disordered systems,…

High Energy Physics - Theory · Physics 2014-11-18 F. Lesage , P. Mathieu , J. Rasmussen , H. Saleur

Logarithmic conformal field theory is investigated using the AdS/CFT correspondence and a novel method based on nilpotent weights. Using this device we add ghost fermions and point to a BRST invariance of the theory.

High Energy Physics - Theory · Physics 2009-11-07 S. Moghimi-Araghi , S. Rouhani , M. Saadat

Logarithmic operators and logarithmic conformal field theories are reviewed. Prominent examples considered here include c=-2 and c=0 logarithmic conformal field theories. c=0 logarithmic conformal field theories are especially interesting…

Statistical Mechanics · Physics 2014-05-30 Victor Gurarie

We construct four-dimensional covariant non-linear theories of massive gravity which are ghost-free in the decoupling limit to all orders. These theories resum explicitly all the nonlinear terms of an effective field theory of massive…

High Energy Physics - Theory · Physics 2011-07-25 Claudia de Rham , Gregory Gabadadze , Andrew J. Tolley

Statistical systems near a classical critical point have been intensively studied both from theoretical and experimental points of view. In particular, correlation functions are of relevance in comparing theoretical models with the…

High Energy Physics - Theory · Physics 2018-05-25 Andrea Amoretti , Nicodemo Magnoli

In this paper, we propose a theoretical scheme of ghost imaging in terms of $N$th-order correlated thermal light. We obtain the Gaussian thin lens equations in the ghost imaging protocol. We show that it is possible to produce $N-1$ ghost…

Quantum Physics · Physics 2009-03-31 Ying-Chuan Liu , Le-Man Kuang

In this manuscript we will present the theoretical framework of the recently proposed infinite derivative theory of gravity with a non-symmetric connection. We will explicitly derive the field equations at the linear level and obtain new…

General Relativity and Quantum Cosmology · Physics 2019-11-21 Álvaro de la Cruz-Dombriz , Francisco José Maldonado Torralba , Anupam Mazumdar

Cosmological correlation functions are significantly more complex than their flat-space analogues, such as tree-level scattering amplitudes. While these amplitudes have simple analytic structure and clear factorisation properties,…

High Energy Physics - Theory · Physics 2024-09-04 Denis Werth

I present the exact energy eigenstates and eigenvalues of a quantum many-body system of bosons on non-commutative space and in a harmonic oszillator confining potential at the selfdual point. I also argue that this exactly solvable system…

Mathematical Physics · Physics 2008-11-26 Edwin Langmann

The construction of the non-logarithmic conformal field theory based on sl^(2)_{-1/2} is revisited. Without resorting to free-field methods, the determination of the spectrum and fusion rules is streamlined and the beta gamma ghost system…

High Energy Physics - Theory · Physics 2009-04-02 David Ridout

The familiar Fock space commonly used to describe the relativistic harmonic oscillator, for example as part of string theory, is insufficient to describe all the states of the relativistic oscillator. We find that there are three different…

High Energy Physics - Theory · Physics 2011-04-28 Itzhak Bars

Higher derivative scalar interactions can give rise to interesting cosmological scenarios. We present a complete classification of such operators that can yield sizeable effects without introducing ghosts and, at the same time, define an…

High Energy Physics - Theory · Physics 2018-08-22 Luca Santoni , Enrico Trincherini , Leonardo G. Trombetta

Logarithmic conformal field theory is a rich and vibrant area of modern mathematical physics with well-known applications to both condensed matter theory and string theory. Our limited understanding of these theories is based upon detailed…

High Energy Physics - Theory · Physics 2013-04-09 Thomas Creutzig , David Ridout

We develop calculational tools to determine higher loop superstring correlators involving massless fermionic and spin fields in four space time dimensions. These correlation functions are basic ingredients for the calculation of loop…

High Energy Physics - Theory · Physics 2010-11-05 Oliver Schlotterer

In the paper, the authors concisely survey and review some functions involving the gamma function and its various ratios, simply state their logarithmically complete monotonicity and related results, and find necessary and sufficient…

Classical Analysis and ODEs · Mathematics 2015-07-07 Feng Qi , Wen-Hui Li
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