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Causal Dynamical Triangulations (CDT) is a non-perturbative lattice approach to quantum gravity where one assumes space-time foliation into spatial hyper-surfaces of fixed topology. Most of the CDT results were obtained for the spatial…

High Energy Physics - Theory · Physics 2019-12-03 Jakub Gizbert-Studnicki

We study effective actions for order parameter fluctuations at low temperature in layered d-wave superconductors such as the cuprates. The order parameter lives on the bonds of a square lattice and has two amplitude and two phase modes…

Superconductivity · Physics 2009-10-31 Arun Paramekanti , Mohit Randeria , T. V. Ramakrishnan , S. S. Mandal

We study a lattice regularization of the gravitational path integral--causal dynamical triangulations--for (2+1)-dimensional Einstein gravity with positive cosmological constant in the presence of past and future spacelike boundaries of…

General Relativity and Quantum Cosmology · Physics 2014-01-16 Joshua H. Cooperman , Jonah Miller

We construct a 2-dimensional Causal Dynamical Triangulation (CDT) model from a matrix model which represents the loop gas model of closed string. The target-space index is reinterpreted as time or geodesic distance. We apply stochastic…

High Energy Physics - Theory · Physics 2013-02-07 Hiroshi Kawabe

The class of effective actions exactly reproducing the conformal anomaly in 4D is considered. It is demonstrated that the freedom within this class can be fixed by the choice of the conformal gauge. The conformal invariant part of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. O. Barvinsky , A. G. Mirzabekian , V. V. Zhytnikov

Causal Dynamical Triangulations (CDT) is a methodology to define and compute the gravitational path integral, whose aim is a fully fledged nonperturbative quantum field theory of gravity and spacetime. Analogous to lattice formulations of…

High Energy Physics - Theory · Physics 2026-04-08 J. Ambjørn , R. Loll

Two-dimensional sigma models are defined for the new manifestly spacetime supersymmetric description of four-dimensional compactified superstrings. The resulting target-superspace effective action is constrained by the way the spacetime…

High Energy Physics - Theory · Physics 2009-10-28 Nathan Berkovits , Warren Siegel

The formation of a phase of matter can be associated with the spontaneous breaking of a symmetry. For crystallization, this broken symmetry is the spatial translation symmetry, as the atoms spontaneously localize in a periodic fashion. In…

Coherent diffractive imaging (CDI) has been widely applied in the physical and biological sciences using synchrotron radiation, XFELs, high harmonic generation, electrons and optical lasers. One of CDI's important applications is to probe…

Instrumentation and Detectors · Physics 2018-07-04 Yuan Hung Lo , Lingrong Zhao , Marcus Gallagher-Jones , Arjun Rana , Jared Lodico , Weikun Xiao , B. C. Regan , Jianwei Miao

In many biological and small scale technological applications particles may transiently bind to a cylindrical surface. In between two binding events the particles diffuse in the bulk, thus producing an effective translation on the cylinder…

Statistical Mechanics · Physics 2015-05-27 Aleksei V. Chechkin , Irwin M. Zaid , Michael A. Lomholt , Igor M. Sokolov , Ralf Metzler

We develop the in-out formalism for one-loop effective actions in electromagnetic fields in the space-dependent gauge. We further advance a method using the inverse scattering matrix to calculate the effective actions in pure magnetic…

High Energy Physics - Theory · Physics 2011-07-22 Sang Pyo Kim

We develop a class of C1-continuous time integration methods that are applicable to conservative problems in elastodynamics. These methods are based on Hamilton's law of varying action. From the action of the continuous system we derive a…

Numerical Analysis · Mathematics 2016-04-18 Janine C. Mergel , Roger A. Sauer , Sina Ober-Blöbaum

We derive the low energy effective action of the STU-model in four and five dimensions near the line T=U, where SU(2) gauge symmetry enhancement occurs. By `integrating in' the light W^{\pm} bosons together with their superpartners, the…

High Energy Physics - Theory · Physics 2009-11-10 Marco Zagermann

We study matter with central charge $c >1$ coupled to two-dimensional (2d) quantum gravity, here represented as causal dynamical triangulations (CDT). 2d CDT is known to provide a regularization of (Euclidean) 2d Ho\v{r}ava-Lifshitz quantum…

General Relativity and Quantum Cosmology · Physics 2015-04-15 Jan Ambjørn , Andrzej Görlich , Jerzy Jurkiewicz , Hongguang Zhang

We show that the action of a dynamical system can be supplemented by an effective action for its environment to reproduce arbitrary coordinate dependent ohmic dissipation and gyroscopic forces. The action is a generalization of the harmonic…

Classical Physics · Physics 2024-05-16 Afshin Besharat , Jury Radkovski , Sergey Sibiryakov

We discuss the computation of the quantum effective action of strongly interacting field theories using holographic duality, and its use to determine quasi-equilibrium parameters of first order phase transitions relevant for gravitational…

High Energy Physics - Theory · Physics 2022-03-31 Fëanor Reuben Ares , Oscar Henriksson , Mark Hindmarsh , Carlos Hoyos , Niko Jokela

The main results are: 1. A manifestly covariant technique for the calculation of De Witt coefficients is elaborated; 2. The coefficients $a_3$ and $a_4$ are calculated; 3. Covariant methods for the study of the nonlocal structure of the…

High Energy Physics - Theory · Physics 2008-02-03 Ivan G. Avramidi

We propose a Continuous-Time Quantum Walks (CTQW) model for one-dimensional Dirac dynamics simulation with higher-order approximation. Our model bridges CTQW with a discrete-time model called Dirac Cellular Automata (DCA) via Quantum…

Quantum Physics · Physics 2024-11-08 Wei-Ting Wang , Yen-Jui Chang , Ching Ray Chang

Generalized causal dynamical triangulations (generalized CDT) is a model of two-dimensional quantum gravity in which a limited number of spatial topology changes is allowed to occur. We solve the model at the discretized level using…

High Energy Physics - Theory · Physics 2013-07-22 Jan Ambjorn , Timothy G. Budd

We report exact results for the partition function for free Dirac fermions on a half line with physically sensible boundary conditions. An exact effective action for general backscattering amplitudes is derived. The action also includes the…

Condensed Matter · Physics 2009-10-28 Manuel Fuentes , Ana Lopez , Eduardo Fradkin