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New dual representation for staggered lattice QCD

机译:交错晶格QCD的新双重代表

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We propose a new strategy to evaluate the partition function of lattice QCD with Wilson gauge action coupled to staggered fermions, based on a strong coupling expansion in the inverse bare gauge coupling β = 2 N / g 2 . Our method makes use of the recently developed formalism to evaluate the SU ( N ) 1-link integrals and consists in an exact rewriting of the partition function in terms of a set of additional dual degrees of freedom which we call “decoupling operator indices” (DOI). The method is not limited to any particular number of dimensions or gauge group U ( N ) , SU ( N ) . In terms of the DOI, the system takes the form of a tensor network which can be simulated using wormlike algorithms. Higher order β -corrections to strong coupling lattice QCD can be, in principle, systematically evaluated, helping to answer the question whether the finite density sign problem remains mild when plaquette contributions are included. Issues related to the complexity of the description and strategies for the stochastic evaluation of the partition function are discussed.
机译:我们提出了一种新的策略,以评估晶格QCD与威尔逊仪表的分区功能,基于反向裸仪耦合β= 2n / g 2的强耦合膨胀。我们的方法利用最近开发的形式主义来评估SU(n)1-Link积分,并在我们称之为“解耦操作员指数”的一组附加的双重自由度方面的分区功能的精确重写DOI)。该方法不限于任何特定数量的尺寸或仪表组U(n),su(n)。就DOI而言,该系统采用张量网络的形式,可以使用蠕虫算法模拟。原则上,强大的耦合晶格QCD的尺寸β-校正可以有助于回答有限密度符号问题在包括斑块贡献时有限密度标志问题是否保持温和。讨论了与分区功能随机评估的描述和策略的复杂性相关的问题。

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