摘要翻译:
由于伽利略不变性,随机强迫不可压缩流体的路径积分具有Becchi-Rouet-Stora(BRS)对称性。必须尊重这种对称性,使其具有一致的生成泛函,既不受整体无限因子的影响,也不受相关函数之间虚假关系的影响。我们提出了一个尊重这种BRS对称性的过程,类似于量子场论中的规范固定。导出了这种规范固定的BRS对称理论的关联函数之间的关系,类似于量子场论的Slavnov-Taylor恒等式。
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英文标题:
《Gauge symmetry and Slavnov-Taylor identities for randomly stirred fluids》
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作者:
A. Berera (Edinburgh), D. Hochberg (CAB, Madrid)
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:High Energy Physics - Theory 高能物理-理论
分类描述:Formal aspects of quantum field theory. String theory, supersymmetry and supergravity.
量子场论的形式方面。弦理论,超对称性和超引力。
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一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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一级分类:Physics 物理学
二级分类:High Energy Physics - Lattice 高能物理-晶格
分类描述:Lattice field theory. Phenomenology from lattice field theory. Algorithms for lattice field theory. Hardware for lattice field theory.
晶格场论。从晶格场论到现象学。格场论的算法。晶格场论硬件。
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一级分类:Physics 物理学
二级分类:High Energy Physics - Phenomenology 高能物理-现象学
分类描述:Theoretical particle physics and its interrelation with experiment. Prediction of particle physics observables: models, effective field theories, calculation techniques. Particle physics: analysis of theory through experimental results.
理论粒子物理及其与实验的相互关系。粒子物理可观测物的预测:模型,有效场论,计算技术。粒子物理:通过实验结果分析理论。
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一级分类:Physics 物理学
二级分类:Fluid Dynamics 流体动力学
分类描述:Turbulence, instabilities, incompressible/compressible flows, reacting flows. Aero/hydrodynamics, fluid-structure interactions, acoustics. Biological fluid dynamics, micro/nanofluidics, interfacial phenomena. Complex fluids, suspensions and granular flows, porous media flows. Geophysical flows, thermoconvective and stratified flows. Mathematical and computational methods for fluid dynamics, fluid flow models, experimental techniques.
湍流,不稳定性,不可压缩/可压缩流,反应流。气动/流体力学,流体-结构相互作用,声学。生物流体力学,微/纳米流体力学,界面现象。复杂流体,悬浮液和颗粒流,多孔介质流。地球物理流,热对流和层流。流体动力学的数学和计算方法,流体流动模型,实验技术。
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英文摘要:
The path integral for randomly forced incompressible fluids is shown to have an underlying Becchi-Rouet-Stora (BRS) symmetry as a consequence of Galilean invariance. This symmetry must be respected to have a consistent generating functional, free from both an overall infinite factor and spurious relations amongst correlation functions. We present a procedure for respecting this BRS symmetry, akin to gauge fixing in quantum field theory. Relations are derived between correlation functions of this gauge fixed, BRS symmetric theory, analogous to the Slavnov-Taylor identities of quantum field theory.
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PDF链接:
https://arxiv.org/pdf/711.0825


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