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Asymptotic symmetry and classical holographic dual of dS3 supergravity dS3超重力的渐近对称性和经典全息对偶
Pub Date : 2020-10-07 DOI: 10.1103/physrevd.102.126028
Arindam Bhattacharjee
We consider minimal supergravity on (2+1)dimensional de-Sitter background. We fix the fall-off conditions for gravitini fields in order to fix the asymptotic phase space. Using the Chern-Simons formulation, we then derive the asymptotic symmetry algebra for this theory. The fall-off conditions impose constraints on the phase space which reduces the Chern Simons theory to a WZW model. Further constraints reduce it to a super-Liouville theory at the boundary. This can be treated as a classical dual for the supergravity theory in the bulk.
我们考虑在(2+1)维de-Sitter背景下的最小超重力。我们固定了引力场的衰减条件,以固定其渐近相空间。利用chen - simons公式,我们导出了该理论的渐近对称代数。脱落条件对相空间施加了约束,使陈-西蒙斯理论简化为WZW模型。进一步的约束使其在边界处简化为超刘维尔理论。这可以看作是超引力理论在整体中的经典对偶。
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引用次数: 1
Reparameterization Invariant Model of a Supersymmetric System: BRST and Supervariable Approaches. 超对称系统的再参数化不变模型:BRST和超变量方法。
Pub Date : 2020-10-05 DOI: 10.1155/2021/2056629.
A. Tripathi, B. Chauhan, A. Rao, R. Malik
We perform the Becchi-Rouet-Stora-Tyutin (BRST) quantization of the one (0 + 1)-dimensional (1D) model of a massive spinning relativistic particle (i.e. a supersymmetric system) by exploiting its classical infinitesimal and continuous reparameterization symmetry transformations. We use the modified Bonora-Tonin (BT) supervariable approach (MBTSA) to BRST formalism to derive the off-shell nilpotent (anti-)BRST symmetry transformations of the target space variables and the (anti-)BRST invariant Curci-Ferrari (CF)-type restriction for the 1D model of our supersymmetric (SUSY) system. The nilpotent (anti-)BRST symmetry transformations for other variables of our model are derived by using the (anti-)chiral supervariable approach (ACSA) to BRST formalism where the CF-type restriction appears in the proof of (i) the invariance of the coupled (but equivalent) Lagrangians, and (ii) the absolute anticommutativity of the conserved and off-shell nilpotent (anti-)BRST charges. The application of the MBTSA to a physical SUSY system (i.e. 1D model of a massive spinning particle) is a novel result in our present endeavor. The proof of the absolute anticommutativity of the conserved (anti-)BRST charges (within the framework of ACSA) is another very interesting observation in view of the fact that only the (anti-)chiral super expansions of the supervariables have been taken into account.The CF-type restriction is universal in nature as it turns out to be the same for the SUSY and non-SUSY reparameterizaion (i.e. 1D diffeomorphism) invariant theories.
我们利用经典的无穷小和连续的再参数化对称变换,对一个大质量自旋相对论粒子(即超对称系统)的一(0 + 1)维(1D)模型进行了bechi - rouet - stora - tyutin (BRST)量子化。利用改进的Bonora-Tonin (BT)超变量方法(MBTSA)对BRST形式化给出了目标空间变量的离壳幂零(反)BRST对称变换和超对称系统一维模型的(反)BRST不变Curci-Ferrari (CF)型约束。我们的模型中其他变量的幂零(反)BRST对称变换是通过使用(反)手性超变量方法(ACSA)得到的,其中cf型限制出现在(i)耦合(但等效)拉格朗日量的不变性证明中,以及(ii)守恒和离壳的幂零(反)BRST电荷的绝对反交换性证明中。将MBTSA应用于物理超对称性系统(即大质量自旋粒子的一维模型)是我们目前努力的一个新结果。保守(反)BRST电荷的绝对反交换性的证明(在ACSA的框架内)是另一个非常有趣的观察,因为只考虑了超变量的(反)手性超展开。cf型约束在本质上是通用的,因为它对SUSY和非SUSY再参数化(即一维微分同构)不变理论是相同的。
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引用次数: 3
Conformal anomaly and helicity effects in kinetic theory via scale-dependent coupling 尺度耦合动力学理论中的共形异常和螺旋效应
Pub Date : 2020-10-05 DOI: 10.1103/PHYSREVD.103.036019
M. Chernodub, E. Kilinçarslan
We modify a kinetic theory of massless fermions to incorporate the effects of the conformal anomaly. Working in a collisionless regime, we emulate the conformal anomaly via a momentum-dependent electric coupling. In this prescription, the conformal anomaly leads to a hedgehog-like structure in the momentum space similar to the Berry phase associated with the axial anomaly. The interplay between the axial and conformal anomalies generates the axial current, proportional to the helicity flow of the electromagnetic background. The corresponding conductivity is determined by the running of the electric coupling between the tip of the Dirac cone and the Fermi surface.
我们修改了一个无质量费米子的动力学理论,以纳入共形异常的影响。在无碰撞状态下,我们通过动量依赖的电耦合模拟共形异常。在这个处方中,共形异常导致动量空间中的刺猬状结构,类似于与轴向异常相关的Berry相。轴向和共形异常之间的相互作用产生轴向电流,与电磁背景的螺旋流成正比。相应的电导率是由狄拉克锥尖和费米表面之间的电耦合的运行决定的。
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引用次数: 1
Hierarchy of supersymmetric higher spin connections 超对称高自旋连接的层次结构
Pub Date : 2020-10-05 DOI: 10.1103/physrevd.102.125018
I. Buchbinder, S. James Gates, K. Koutrolikos
We focus on the geometrical reformulation of free higher spin supermultiplets in $4D,~mathcal{N}=1$ flat superspace. We find that there is a de Wit-Freedman like hierarchy of superconnections with simple gauge transformations. The requirement for sensible free equations of motion imposes constraints on the gauge parameter superfields. Unlike the non-supersymmetric case there is no unique way of doing that and thus generating many different but, on-shell equivalent, constrained descriptions of the same physical system. By lifting the constraints non-geometrically we find that all known descriptions of integer and half-integer supermultiplets are produced by the different ways of decoupling higher order superconnections. Also we find that there exist a consistent constrained description of half-integer supermultiplets which can not be lifted to an unconstrained formulation. In the constrained formulation, the various descriptions can be labeled as geometrical or non-geometrical if the equations of motion can be expressed only in terms of superconnections or not.
研究了$4D,~mathcal{N}=1$平面超空间中自由高自旋超重态的几何重表述。我们发现具有简单规范变换的超连接存在一个类似de Wit-Freedman的层次。有意义的自由运动方程的要求对规范参数超场施加了约束。与非超对称的情况不同,没有独特的方法可以做到这一点,从而产生许多不同的,但在壳层上等效的,对同一物理系统的约束描述。通过非几何地解除约束,我们发现所有已知的整数和半整数超多胞胎的描述都是由不同的高阶超连接解耦方式产生的。我们还发现了半整数超多重态存在一个一致的约束描述,它不能被提升为无约束的表述。在约束公式中,如果运动方程只能用超连接表示或不能用超连接表示,则各种描述可以标记为几何或非几何。
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引用次数: 8
On Léon van Hove's 1952 article on the foundations of Quantum Field Theory 论lsamon van Hove 1952年关于量子场论基础的文章
Pub Date : 2020-10-05 DOI: 10.1590/1806-9126-rbef-2020-0256
Fulvio Sbisà
In 1952, Leon van Hove published an article, in French, with the title ``Les difficultes de divergences pour um modele particulier de champ quantifie''. The article is frequently cited in relation to Haag's theorem and to the issue of the existence of unitarily inequivalent representations of the canonical commutation relations in Quantum Field Theory. Summarizing in brief, it suggests a link between the appearance of divergences in perturbative Quantum Field Theory and the fact that quantum states belonging to an interacting theory do not belong to the same Hilbert space of the free theory. It also suggests that renormalization fails to provide an accurate description of the time evolution of the quantum field, although it correctly accounts for the S matrix. Due to its relevance, and to the difficulty of finding an English translation, the ideas contained in this article are proposed again here, expanded with derivations and accompanied by a discussion aimed at putting the analysis into context. We highlight the main points from the perspective of a contemporary reader, and underline the differences with the standard approach usually taught in curricular courses in Quantum Field Theory.
1952年,里昂·凡·霍夫用法语发表了一篇文章,题为《Les difficult de divergence pour um modele speciulier de champ quantifie》。这篇文章经常被引用于哈格定理和量子场论中正则交换关系的酉不等价表示的存在性问题。简而言之,它表明微扰量子场论中发散的出现与属于相互作用理论的量子态不属于自由理论的相同希尔伯特空间这一事实之间存在联系。它还表明,重整化不能提供量子场时间演化的准确描述,尽管它正确地解释了S矩阵。由于其相关性,以及寻找英文翻译的难度,本文中包含的观点在这里再次提出,并通过衍生进行扩展,并伴随着旨在将分析置于上下文中的讨论。我们从当代读者的角度强调了主要观点,并强调了与量子场论课程中通常教授的标准方法的区别。
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引用次数: 1
Anomalous hydrodynamics with dyonic charge 带动电荷的异常流体力学
Pub Date : 2020-09-30 DOI: 10.1142/S0217751X21501335
Y. Nakayama
We study anomalous hydrodynamics with a dyonic charge. We show that the local second law of thermodynamics constrains the structure of the anomaly in addition to the structure of the hydrodynamic constitutive equations. In particular, we show that not only the usual $Ecdot B$ term but also $E^2 -B^2$ term should be present in the anomaly with a specific coefficient for the local entropy production to be positive definite.
我们研究了带动子电荷的异常流体力学。我们证明了局部热力学第二定律约束了异常的结构以及水动力本构方程的结构。特别地,我们证明了不仅通常的$Ecdot B$项,而且$E^2 -B^2$项应该存在于具有特定系数的局部熵产生为正定的异常中。
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引用次数: 0
Vortices in fracton type gauge theories 分数型规范理论中的涡
Pub Date : 2020-09-30 DOI: 10.1016/j.physletb.2020.135978
G. Lozano, F. Schaposnik
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引用次数: 2
Existence and construction of exact functional-renormalization-group flows of a UV-interacting scalar field theory 紫外相互作用标量场理论中精确泛函-重整化群流的存在与构造
Pub Date : 2020-09-28 DOI: 10.1103/physrevd.103.025002
Jobst Ziebell
We prove the existence and give a construction procedure of Euclidean-invariant exact solutions to the Wetterich equation in $d > 2$ dimensions satisfying the naive boundary condition of a massive and interacting real scalar $phi^4$ theory in the ultraviolet limit as well as a generalised free theory in the infrared limit. The construction produces the momentum-dependent correlation functions to all orders through an iterative scheme, based on a self-consistent ansatz for the four-point function. The resulting correlators are bounded at all regulator scales and we determine explicit bounds capturing the asymptotics in the UV and IR limits. Furthermore, the given construction principle may be extended to other systems and might become useful in the study of general properties of exact solutions.
我们证明了d > 2维的weterich方程欧几里得不变精确解的存在性,并给出了一个构造过程,该精确解在紫外极限下满足一个大质量相互作用的实标量$phi^4$理论的朴素边界条件,在红外极限下满足一个广义自由理论的朴素边界条件。该构造基于四点函数的自洽分析,通过迭代方案产生所有阶的动量相关函数。所得到的相关器在所有调节器尺度上都是有界的,并且我们确定了在UV和IR极限上捕获渐近的显式边界。此外,所给出的构造原理可推广到其他系统,并可用于研究精确解的一般性质。
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引用次数: 4
Uniformly accelerated classical sources as limits of Unruh-DeWitt detectors 作为Unruh-DeWitt探测器极限的均匀加速经典源
Pub Date : 2020-09-28 DOI: 10.1103/physrevd.102.105016
Gabriel Cozzella, S. Fulling, A. G. Landulfo, G. Matsas
Although the thermal and radiative effects associated with a two-level quantum system undergoing acceleration are now widely understood and accepted, a surprising amount of controversy still surrounds the simpler and older problem of an accelerated classical charge. We argue that the analogy between these systems is more than superficial: There is a sense in which a "UD detector" in a quantized scalar field effectively acts as a classical source for that field if the splitting of its energy levels is so small as to be ignored. After showing explicitly that a detector with unresolved inner structure does behave as a structureless scalar source, we use that analysis to rederive the scalar version of a previous analysis of the accelerated electromagnetic charge, without appealing to the troublesome concept of "zero-energy particles." Then we recover these results when the detector energy gap is taken to be zero from the beginning. This vindicates the informal terminology "zero-frequency Rindler modes" as a shorthand for "Rindler modes with arbitrarily small energy." In an appendix, the mathematical behavior of the normal modes in the limit of small frequency is examined in more detail than before. The vexed (and somewhat ambiguous) question of whether coaccelerating observers detect the acceleration radiation can then be studied on a sound basis.
尽管与经历加速的两能级量子系统相关的热效应和辐射效应现在已被广泛理解和接受,但围绕加速经典电荷这一更简单、更古老的问题仍存在大量争议。我们认为,这些系统之间的类比不仅仅是表面上的:在某种意义上,如果量子化标量场中的“UD探测器”的能级分裂小到可以忽略,那么它就可以有效地充当该场的经典源。在明确表明具有未解析内部结构的探测器确实表现为无结构标量源之后,我们使用该分析来重新推导先前加速电磁电荷分析的标量版本,而不诉诸“零能量粒子”的麻烦概念。然后,当探测器的能隙从一开始就为零时,我们恢复了这些结果。这证明了非正式术语“零频率伦德勒模”是“具有任意小能量的伦德勒模”的简写。在附录中,比以前更详细地研究了小频率极限下正常模态的数学行为。共同加速的观测者是否能探测到加速辐射,这是一个令人烦恼的(有点模糊的)问题,然后可以在一个健全的基础上进行研究。
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引用次数: 7
Applications of dispersive sum rules: $ε$-expansion and holography 色散和规则的应用:$ε$-展开和全息
Pub Date : 2020-09-28 DOI: 10.21468/SciPostPhys.10.6.145
Dean Carmi, J. Penedones, Joao A. Silva, A. Zhiboedov
We use Mellin space dispersion relations together with Polyakov conditions to derive a family of sum rules for Conformal Field Theories (CFTs). The defining property of these sum rules is suppression of the contribution of the double twist operators. Firstly, we apply these sum rules to the Wilson-Fisher model in $d=4-epsilon$ dimensions. We re-derive many of the known results to order $epsilon^4$ and we make new predictions. No assumption of analyticity down to spin $0$ was made. Secondly, we study holographic CFTs. We use dispersive sum rules to obtain tree-level and one-loop anomalous dimensions. Finally, we briefly discuss the contribution of heavy operators to the sum rules in UV complete holographic theories.
利用Mellin空间色散关系和Polyakov条件,导出了共形场论的和规则族。这些和规则的定义性质是抑制双扭转算子的贡献。首先,我们将这些求和规则应用到$d=4- $ epsilon$维的Wilson-Fisher模型。我们重新推导了许多已知的结果阶$ ε ^4$,并做出了新的预测。没有假设分析下降到旋转$0$。其次,我们研究了全息cft。我们使用弥散和规则来获得树级和单环异常维数。最后简要讨论了重算子对UV完全全息理论和规则的贡献。
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引用次数: 40
期刊
arXiv: High Energy Physics - Theory
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