New physics from lattice simulations of strongly interacting gauge theories

来自强相互作用规范理论的晶格模拟的新物理学

• 批准号: 319989789
• 负责人: Privatdozent Dr. Georg Bergner
• 金额: --
• 依托单位: Theoretisch-Physikalisches Institut
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2016
• 资助国家: 德国
• 起止时间: 2015-12-31 至 2019-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/319989789?language=en
• 关键词: New; physics; lattice; simulations; strongly

The recent discovery of the Higgs particle has completed the search for the components of the standard model of particles. The theoretical predictions of this theory have been confirmed with a remarkably good precision. Nevertheless there are well-known limitations of the standard model like the missing explanation for the dark matter found in astronomical observations and conceptual problems related to the unification of the fundamental forces and the large quantum corrections of the Higgs particle. There are several theoretical considerations that aim to circumvent these shortcomings and to arrive at a consistent extension of the standard model. This project considers the question for a consistent extension of the standard model. The main objective will be strongly interacting supersymmetric theories and technicolour theories. These theories must be significantly different from the strong interactions in the standard model, the quantum chromodynamics, and one of the most interesting candidates for the investigations are theories with fermions in the adjoint representation. The investigations will be based on the numerical lattice simulations and will be focussed on the main questions that can only be answered by this non-perturbative method: the spectrum of bound state particles, the phase transitions, and signals for a near conformal behaviour. New numerical methods that have already been successfully applied in quantum chromodynamics will be used. The results will provide important predictions such as possible new undiscovered particles. The investigation of new strongly interacting theories provides also a new perspective on the strong interactions in the standard model. They are the starting point of theoretical approaches for an analytic understanding of quantum chromodynamics. The lattice simulations will show the range of validity of these approaches. The project will also investigate how supersymmetry can be realised in the numerical simulations. It can be the starting point for a number of further investigations: the properties of strongly interacting dark matter or the coupling of standard model particles to exotic bound states of fermions and gluons might be investigated. Further extensions regarding the investigations of the AdS/CFT correspondence might follow from the lattice simulations of the supersymmetric theories.

Higgs粒子的最新发现完成了对粒子标准模型组件的搜索。该理论的理论预测已经以非常好的精度证实。然而，标准模型存在着众所周知的局限性，例如与基本力量统一和希格斯粒子的大量量子校正有关的天文观测和概念问题所发现的暗物质的缺失解释。有几种理论上的考虑，旨在规避这些缺点，并得出标准模型的一致扩展。该项目考虑了标准模型一致扩展的问题。主要目标将是强烈相互作用的超对称理论和技术理论。这些理论必须与标准模型中的强相互作用，量子染色体动力学和研究最有趣的候选者之一是显着不同的理论。该研究将基于数值晶格模拟，并将重点放在只能通过这种非扰动方法来回答的主要问题上：结合状态粒子的光谱，相变和近乎整形行为的信号。将使用已经成功应用于量子染色体动力学的新数值方法。结果将提供重要的预测，例如可能的新未发现的颗粒。对新的强烈互动理论的研究也为标准模型中的强烈相互作用提供了新的观点。它们是对量子染色体动力学的分析理解理论方法的起点。晶格模拟将显示这些方法的有效性范围。该项目还将研究如何在数值模拟中实现超对称性。这可能是许多进一步研究的起点：可以研究强烈相互作用的暗物质或标准模型颗粒与费米和胶子的外来结合状态的耦合。关于ADS/CFT对应的研究的进一步扩展可能来自超对称理论的晶格模拟。

项目成果

Ward identities in N = 1 supersymmetric SU(3) Yang-Mills theory on the lattice

N = 1 超对称 SU(3) 格子上的 Yang-Mills 理论中的 Ward 恒等式

• DOI: 10.1051/epjconf/201817508003
• 发表时间: 2020
• 作者: S. Ali;G. Bergner;H. Gerber;I. Montvay;G. Münster;S. Piemonte;P. Scior
• 通讯作者: P. Scior

Low energy properties of SU(2) gauge theory with Nf = 3/2 flavours of adjoint fermions

伴随费米子 Nf = 3/2 风味的 SU(2) 规范理论的低能特性

• DOI: 10.1007/jhep01(2018)119
• 发表时间: 2018
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: G. Bergner;P. Giudice;G. Münster;P. Scior
• 通讯作者: P. Scior

Variational analysis of low-lying states in supersymmetric Yang-Mills theory

超对称杨-米尔斯理论中低洼态的变分分析

• DOI: 10.1007/jhep04(2019)150
• 发表时间: 2019
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: S. Ali;G. Bergner;H. Gerber;S. Kuberski;I. Montvay;G. Münster;S. Piemonte;P. Scior
• 通讯作者: P. Scior

Running coupling from gluon and ghost propagators in the Landau gauge: Yang-Mills theories with adjoint fermions

• DOI: 10.1103/physrevd.97.074510
• 发表时间: 2017-09
• 期刊: Physical Review D
• 影响因子: 5
• 作者: G. Bergner;S. Piemonte

Analysis of Ward identities in supersymmetric Yang–Mills theory

超对称YangâMills理论中的Ward恒等式分析

• DOI: 10.1140/epjc/s10052-018-5887-9
• 发表时间: 2018
• 期刊: The European Physical Journal C
• 作者: S. Ali;H. Gerber;I. Montvay;G. Münster;S. Piemonte;P. Scior;G. Bergner
• 通讯作者: G. Bergner