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Related papers: Conformal Phase Transition

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A conventional quantum phase transition (QPT) can be accessed by varying a real parameter at absolute zero temperature. Motivated by the discovery of the pseudo-Hermiticity of non-Hermitian systems, we explore the QPT in non-Hermitian…

Quantum Physics · Physics 2014-07-16 C. Li , G. Zhang , X. Z. Zhang , Z. Song

In this paper, the cosmic phase transition is investigated by background gauge field method. As a continuation of previous our work, some numerical results and graphic solutions at $T\neq 0$ are presented. Hence the mechanism of cosmic…

General Physics · Physics 2022-06-03 Phan Hong Lien , Nguyen Nhu Xuan

CDT is an attempt to formulate a non-perturbative lattice theory of quantum gravity. We describe the phase diagram and analyse the phase transition between phase B and phase C (which is the analogue of the de Sitter phase observed for the…

High Energy Physics - Theory · Physics 2019-09-04 Jan Ambjørn , Jakub Gizbert-Studnicki , Andrzej Görlich , Jerzy Jurkiewicz , Dániel Németh

In the paper, we review the recent construction of the Liouville conformal field theory (CFT) from probabilistic methods, and the formalization of the conformal bootstrap. This model has offered a fruitful playground to unify the…

Mathematical Physics · Physics 2024-03-20 Colin Guillarmou , Antti Kupiainen , Rémi Rhodes

We construct the exact partition function of the Potts model on a complete graph subject to external fields with linear and nematic type couplings. The partition function is obtained as a solution to a linear diffusion equation and the free…

Mathematical Physics · Physics 2019-08-14 Paolo Lorenzoni , Antonio Moro

Conformable derivatives provide a fractional-looking calculus that remains local and admits a simple representation through classical derivatives with explicit weights. In this paper we develop a systematic operator-theoretic perspective…

Analysis of PDEs · Mathematics 2026-01-08 Mohamed Khoulane , Aziz El Ghazouani , M'hamed El Omari

The role of quantum fluctuations in modifying the critical behavior of non-equilibrium phase transitions is a fundamental but unsolved question. In this study, we examine the absorbing state phase transition of a 1D chain of qubits…

Statistical Mechanics · Physics 2024-07-02 Nastasia Makki , Nicolai Lang , Hans Peter Büchler

With the present trend in experimental particle physics of probing yet shorter distances and with the requirement on the theoretical side of renormalizability, conformal invariance becomes an attractive symmetry for particle interactions.…

High Energy Physics - Theory · Physics 2022-08-29 A. D. Alhaidari

Causal Dynamical Triangulations (CDT) is a proposal for a theory of quantum gravity, which implements a path-integral quantization of gravity as the continuum limit of a sum over piecewise flat spacetime geometries. We use Monte Carlo…

High Energy Physics - Theory · Physics 2012-06-25 J. Ambjorn , S. Jordan , J. Jurkiewicz , R. Loll

We discuss scalar conformal field theories (CFTs) that can be realized in structural phase transitions. The Landau condition and Lifshitz condition are reviewed, which are necessary conditions for a structural phase transition to be second…

High Energy Physics - Theory · Physics 2025-01-28 Junchen Rong

A parity-time (PT) transition is a spectral transition characteristic of non-Hermitian generators; it typically occurs at an exceptional point, where multiple eigenvectors coalesce. The concept of a PT transition has been extended to…

Quantum Physics · Physics 2026-01-01 Yuma Nakanishi , Tomohiro Sasamoto

We explain how the axioms of Conformal Field Theory are used to make predictions about critical exponents of continuous phase transitions in three dimensions, via a procedure called the conformal bootstrap. The method assumes conformal…

Mathematical Physics · Physics 2020-11-09 Slava Rychkov

This is a set of introductory lecture notes on conformal field theory. Unlike most existing reviews on the subject, CFT is presented here from the perspective of a unitary quantum field theory in Minkowski space-time. It begins with a…

High Energy Physics - Theory · Physics 2023-05-04 Marc Gillioz

Non-congruent gas-liquid phase transition (NCPT) have been studied in modified Coulomb model of a binary ionic mixture C(+6) + O(+8) on a \textit{uniformly compressible} ideal electronic background /BIM($\sim$)/. The features of NCPT in…

Plasma Physics · Physics 2016-02-24 N E Stroev , I L Iosilevskiy

We show that, in periodically perturbed chaotic systems, Phase Synchronization appears, associated to a special type of stroboscopic map, in which not only averages quantities are equal to invariants of the perturbation, the angular…

Statistical Mechanics · Physics 2007-05-23 M. S. Baptista , T. Pereira , J. C. Sartorelli , I. L. Caldas , J. Kurths

We investigate the phase structure of non-commutative scalar field theories and find evidence for ordered phases which break translation invariance. A self-consistent one-loop analysis indicates that the transition into these ordered phases…

High Energy Physics - Theory · Physics 2009-10-31 Steven S. Gubser , Shivaji L. Sondhi

Non-Hermiticity has recently emerged as a rapidly developing field due to its exotic characteristics related to open systems, where the dissipation plays a critical role. In the presence of balanced energy gain and loss with environment,…

Optics · Physics 2024-04-10 Chang Li , Ruisheng Yang , Xinchao Huang , Quanhong Fu , Yuancheng Fan , Fuli Zhang

I present a selective survey of the phases of quantum matter with varieties of many-particle quantum entanglement. I classify the phases as gapped, conformal, or compressible quantum matter. Gapped quantum matter is illustrated by a simple…

High Energy Physics - Theory · Physics 2012-05-23 Subir Sachdev

In this paper, we propose a definition of phase for a class of stable nonlinear systems called semi-sectorial systems, from an input-output perspective. The definition involves the Hilbert transform as a critical instrument to complexify…

Systems and Control · Electrical Eng. & Systems 2021-05-04 Chao Chen , Di Zhao , Wei Chen , Sei Zhen Khong , Li Qiu

Nonperturbative picture of strong interacting quark-gluon plasma is given based on the systematic Field Correlator Method. Equation of state, phase transition in density-temperature plane is derived and compared to lattice data as well as…

High Energy Physics - Phenomenology · Physics 2017-08-23 E. V. Komarov , Yu. A. Simonov