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We give a concise, self-contained introduction to perturbation theory in cosmology at linear and second order, striking a balance between mathematical rigour and usability. In particular we discuss gauge issues and the active and passive…

Astrophysics · Physics 2009-06-23 Karim A. Malik , David R. Matravers

One of the most fundamental questions we can ask about a given gauge theory is its phase diagram. In the standard model, we observe three fundamentally different types of behavior: QCD is in a confined phase at zero temperature, while the…

High Energy Physics - Theory · Physics 2015-06-12 Michael C. Ogilvie

Gauge theories form the foundation of modern physics, with applications ranging from elementary particle physics and early-universe cosmology to condensed matter systems. We perform quantum simulations of the unitary dynamics of a U(1)…

We study macroscopically two dimensional $\mathcal{N}=(2,2)$ supersymmetric gauge theories constructed by compactifying the quiver gauge theories with eight supercharges on a product $\mathbb{T}^{d} \times \mathbb{R}^{2}_{\epsilon}$ of a…

High Energy Physics - Theory · Physics 2013-12-25 Nikita Nekrasov , Vasily Pestun , Samson Shatashvili

((1+1)-dimensional ${\cal N}=1$ super-symmetric field theory and (3+1)-dimensional ${\cal N}=2$ super-symmetric gauge theory are discussed in a, more or less, unified way, designed to identify the quantum BPS states in both systems.…

High Energy Physics - Theory · Physics 2016-02-29 Juan Mateos Guilarte

Soft materials with layered structure such as membranes, block copolymers, and smectics exhibit intriguing morphologies with nontrivial curvatures. We report on restructuring the Gaussian and mean curvatures of smectic A films with free…

Soft Condensed Matter · Physics 2016-01-20 Dae Seok Kim , Yun Jeong Cha , Mun Ho Kim , Oleg D. Lavrentovich , Dong Ki Yoon

Using Monte Carlo simulations, we study a Higgs transition in several three-dimensional lattice realizations of the noncompact CP$^1$ model (NCCP$^1$), a gauge theory with two complex matter fields with SU(2) invariance. By comparing with a…

Statistical Mechanics · Physics 2008-05-13 Olexei I. Motrunich , Ashvin Vishwanath

The connection is established between two theories that have developed independently with the aim to describe quantum mechanics as a stochastic process, namely stochastic quantum mechanics (sqm) and stochastic electrodynamics (sed).…

Quantum Physics · Physics 2020-02-20 Luis de la Peña , Ana María Cetto , Andrea Valdés-Hernández

Lattice studies of gauge theories with symplectic gauge groups provide valuable information about gauge dynamics, and complement the results of lattice investigations focused on unitary gauge groups. These theories play a central role in…

Gauge theories represent a fundamental framework underlying modern physics, constituting the basis of the Standard Model and also providing useful descriptions of various phenomena in condensed matter. Realizing gauge theories on accessible…

Quantum Gases · Physics 2023-10-20 Jad C. Halimeh , Monika Aidelsburger , Fabian Grusdt , Philipp Hauke , Bing Yang

Quantum gauge theories with finite-dimensional representation spaces are constructed that can have canonical gauge field theories as singular limits. They describe nature as a recursive quantum assembly by iterating Fermi-Dirac…

Quantum Physics · Physics 2010-07-20 David Ritz Finkelstein

We demonstrate how one can see quantization of geometry, and quantum algebraic structure in supersymmetric gauge theory.

High Energy Physics - Theory · Physics 2017-05-16 Taro Kimura

An ab initio calculation of nuclear physics from Quantum Chromodynamics (QCD), the fundamental SU(3) gauge theory of the strong interaction, remains an outstanding challenge. Here, we discuss the emergence of key elements of nuclear physics…

Quantum Gases · Physics 2018-05-17 E. Rico , M. Dalmonte , P. Zoller , D. Banerjee , M. Bogli , P. Stebler , U. -J. Wiese

We show that the massive noncommutative U(1) theory is embedded in a gauge theory using an alternative systematic way, which is based on the symplectic framework. The embedded Hamiltonian density is obtained after a finite number of steps…

High Energy Physics - Theory · Physics 2009-11-10 C. Neves , W. Oliveira , D. C. Rodrigues , C. Wotzasek

We propose a dynamical theory of the stripe phase arising in a two-dimensional electron liquid near half-integral fillings of high Landau levels. The system is modelled as a novel type of a smectic liquid crystal with the Lorentz force…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. M. Fogler , V. M. Vinokur

The two-dimensional gauged linear sigma model has provided a physical model for the quantum cohomology of a K\"ahler manifold, $X$. A three-dimensional version of such construction has recently been shown to shed light on models of quantum…

High Energy Physics - Theory · Physics 2025-01-07 M. Nouman Muteeb , Leopoldo A. Pando Zayas

We describe the statistical mechanics of a melting crystal in three dimensions and its relation to a diverse range of models arising in combinatorics, algebraic geometry, integrable systems, low-dimensional gauge theories, topological…

High Energy Physics - Theory · Physics 2011-07-22 Richard J. Szabo

This thesis consists of two parts. In the first part we study some topics in $\mathcal{N}=1$ supersymmeric gauge theory and the relation to matrix models. We review the relevant non-perturbative techniques for computing effective…

High Energy Physics - Theory · Physics 2017-09-07 Min-xin Huang

We develop a novel holographic framework to study dynamical phases in random quantum circuits with a global symmetry $G$. Viewing the circuit as a tensor network, we decompose it into two parts: a symmetric layer, which defines an emergent…

Quantum Physics · Physics 2026-05-11 Akash Vijay , Jong Yeon Lee

This theory combines a thermodynamic approach with a dynamic one in order to describe glass transition. Glass transition is regarded as an inaccessible second order phase transition, which is interrupted because of premature critical…

Statistical Mechanics · Physics 2015-06-04 Mikhail Vasin
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