It was recently pointed out that simple scaling properties of Polyakov correlation functions of gauge systems in the confining phase suggest that the ratios of k-string tensions in the low temperature region is constant up to terms of order T^3. Here we argue that, at least in a three-dimensional Z_4 gauge model, the above ratios are constant in the whole confining phase. This result is obtained by combining numerical experiments with known exact results on the mass spectrum of an integrable two-dimensional spin model describing the infrared behaviour of the gauge system near the deconfining transition.
Coulomb vs. physical string tension on the lattice
从连续介质的研究可知，库仑弦张力$σ_C$给出了物理（威尔逊）弦张力$σ_W$的上限[D. Zwanziger，Phys. Rev. Lett. 90，102001（2003）]。然而，这种关系如何转化为晶格？在本文中，我们给出的证据表明，有，而两个弦的张力在零温度相关，他们在有限的温度解耦。更准确地说，我们表明，在晶格上的库仑规范约束的情况下，总是绑定到空间弦张力，这是已知的生存的解除禁闭相变，并导致屏蔽效应的夸克-胶子等离子体。我们的分析是基于识别和消除中心涡，允许控制物理弦张力和研究其对库仑规范观测值的影响。我们还展示了库仑势的替代定义如何感知解除禁闭的转变，然而，一个真正的静态库仑规范序参量的相变仍然是难以捉摸的晶格上。
We improve upon recent calculations of the low-lying `glueball' spectra of SO(3) and SO(4) lattice gauge theories in 2+1 dimensions, and compare the resulting continuum extrapolations with SU(2). We find that these are reasonably consistent, as are the SU(2) and SO(4) string tensions when these are corrected for the differing representations of the flux. All this indicates that the different global properties of these groups do not play a significant role in the low-lying physics.
We investigate Abelian and monopole contributions to spatial string tension in the deconfined phase of finite temperature SU(2) gauge theory without imposing any gauge fixing conditions. Lattice calculations of non-Abelian and Abelian spatial string tensions from the Wilson action at gauge coupling $β=2.74$ and lattice volume $24^3\times{N_t}$ $(N_{t}=\left\{ 24,8,6,4,2)\right\}$ show that these string tensions agree with each other within error bars at any adopted value of $N_t$, which implies Abelian dominance. From measurements of non-Abelian, Abelian, and monopole forces that arise from th…
Heavy quark transport coefficients in a strongly coupled Quark-Gluon Plasma can be evaluated using a gauge/string duality and lattice QCD. Via this duality, one can argue that for low momenta the drag coefficient for heavy quarks is proportional to the spatial string tension. Such a tension is well studied on the lattice that allows one to straightforwardly make non-perturbative estimates of the heavy quark diffusion coefficients near the critical point. The obtained results are consistent with those in the literature.
On k-String Tensions and Domain Walls in N=1 Gluodynamics
讨论了SU（N）超对称胶子动力学中k弦张力σ_k对k的依赖性。众所周知，在大N时，k弦由k个不相互作用的基本弦组成，直到首阶，所以sigma_k=k sigma_1。我们从场论和弦论的角度都认为，对这个公式的次级修正是以1/N^2的幂而不是1/N的幂进行的，因此排除了卡西米尔标度。我们提出了一个启发式的模型，允许一个与四维gluodynamics的BPS域壁（k-墙）的张力的k-弦张力。在这个模型中，畴壁是由重子顶点相互连接的弦网构成的。这样形成的关系导致正弦公式σ_ k ~ λ ^2 N sin pi k/N。我们讨论了可能的修正的正弦定律，并提出论点，他们被压制的1/k因素。我们解释了为什么正弦定律在二维空间不成立。最后，我们讨论了正弦公式对非超对称定向折叠场论的适用性。
Global string networks may be relevant in axion production in the early Universe, as well as other cosmological scenarios. Such networks contain a large hierarchy of scales between the string core scale and the Hubble scale, log(f/H) around 70, which influences the network dynamics by giving the strings large tensions T = pi f^2 log(f/H). We present a new numerical approach to simulate such global string networks, capturing the tension without an exponentially large lattice.
We calculate the low-lying glueball spectrum and various string tensions in SU(N) lattice gauge theories in 2+1 dimensions, and extrapolate the results to the continuum limit. We do so for for the range N=2 to N=16 so as to control the N-dependence with a useful precision. We observe a number of striking near-degeneracies in the various J^PC sectors of the glueball spectrum, in particular between C=+ and C=- states. We calculate the string tensions of flux tubes in a number of representations, and provide evidence that the leading correction to the N-dependence of the k-string tensions varies …
We propose a simple mean-field ansatz to study phase transitions from a topological phase to a trivial phase. We probe the efficiency of this approach by considering the string-net model in the presence of a string tension for any anyon theory. Such a perturbation is known to be responsible for a deconfinement-confinement phase transition which is well described by the present variational setup. We argue that mean-field results become exact in the limit of large total quantum dimension.
We investigate the properties of global cosmic string networks as a function of the ratio of string tension to Goldstone-field coupling, and as a function of the Hubble damping strength. Our results show unambiguously that the string density is sensitive to this ratio. We also find that existing semi-analytical (one-scale) models must be missing some important aspect of the network dynamics. Our results point the way towards improving such models.
