188宝金博页面版

  • 图案背景
  • 纯色背景
视图
标记
批注
批注本地保存成功，开通会员云端永久保存 去开通
marui2013

上传于：2021-04-03

粉丝量：0

该文档贡献者很忙，什么也没留下。


  • 相关
  • 目录
  • 笔记
  • 书签

188宝金博页面版:更多相关文档

  • testing dimensional reduction in su(2) gauge theory

    星级： 3 页

  • [精品]Testing Dimensional Reduction in SU(2) Gauge Theory

    星级： 3 页

  • Testing Dimensional Reduction in SU(2) Gauge Theory

    星级： 3 页

  • Dimensional reduction in SU (3) gauge theory

    星级： 6 页

  • Propagators and Dimensional Reduction of Hot SU(2) Gauge Theory

    星级： 18 页

  • Dimensional reduction of SU(2) gauge theory beyond the perturbative horizon

    星级： 15 页

  • Stochastic confinement and dimensional reduction (II). Three-dimensional SU(2) lattice gauge theory

    星级： 10 页

  • Stochastic confinement and dimensional reduction (I). Four-dimensional SU(2) lattice gauge theory

    星级： 24 页

  • 2- And 3-cochains in 4-dimensional SU(2) gauge theory

    星级： 7 页

  • Center-vortex dominance after dimensional reduction of SU(2) lattice gauge theory

    星级： 8 页

  • Center-vortex dominance after dimensional reduction of SU(2) lattice gauge theory

    星级： 12 页

  • 3-dimensional SU (2) lattice gauge theory in terms of gauge invariant variables

    星级： 6 页

  • Entanglement in Four-Dimensional SU(3) Gauge Theory

    星级： 5 页

  • Excited glueball states in four-dimensional SU(3) lattice gauge theory

    星级： 5 页

  • Baryon bound state in two-dimensional SU(N) gauge theory

    星级： 20 页

暂无目录

点击鼠标右键菜单,创建目录

    暂无笔记

    选择文本，点击鼠标右键菜单，添加笔记

    暂无书签

    在左侧文档中，点击鼠标右键，添加书签

    188宝金博页面版: testing dimensional reduction in su(2) gauge theory

    下载积分： 1100

    内容提示： arXiv:hep-lat/0110138v1 16 Oct 20011Testing Dimensional Reduction in SU(2) Gauge TheorySlavo Kratochvilaa?and Philippe de ForcrandabaInstitute for Theoretical Physics, ETH Z¨ urich, CH-8093 Z¨ urich, SwitzerlandbTheory Division, CERN, CH-1211 Geneva 23, SwitzerlandAt high temperature, every (d + 1)-dimensional theory can be reformulated as an effective theory in d dimen-sions. We test the numerical accuracy of this Dimensional Reduction for (3+1)-dimensional SU(2) by comparingperturbatively determined ...

    文档格式：PDF | 页数：3 | 浏览次数：7 | 上传日期：2021-04-03 16:58:35 | 文档星级：
    arXiv:hep-lat/0110138v1 16 Oct 20011Testing Dimensional Reduction in SU(2) Gauge TheorySlavo Kratochvilaa∗and Philippe de ForcrandabaInstitute for Theoretical Physics, ETH Z¨ urich, CH-8093 Z¨ urich, SwitzerlandbTheory Division, CERN, CH-1211 Geneva 23, SwitzerlandAt high temperature, every (d + 1)-dimensional theory can be reformulated as an effective theory in d dimen-sions. We test the numerical accuracy of this Dimensional Reduction for (3+1)-dimensional SU(2) by comparingperturbatively determined effective couplings with lattice results as the temperature is progressively lowered. Weobserve an increasing disagreement between numerical and perturbative values from T = 4Tc downwards, whichmay however be due to somewhat different implementations of dimensional reduction in the two cases.1. INTRODUCTIONOne of the major thrusts of nuclear physics inthe next decade will be the effort to study thequark-gluon plasma. At the high temperaturesreached, one can consider applying DimensionalReduction. To test the accuracy of DimensionalReduction, a purely gluonic system provides asimple, but relevant benchmark. Therefore, herewe study SU(2) gauge theory at finite tempera-ture. Up to now, only gauge invariant correla-tion functions of colourless states have been mea-sured. This approach gives no information aboutthe effective action. Here, we measure directlythe effective coupling constants. The analytics ofDimensional Reduction gives us perturbative ex-pressions for these coupling constants. A numer-ical, non-perturbative determination allows us tomonitor the two ways in which the perturbativecalculation can fail: (i) As the temperature is low-ered, the couplings increasingly depart from theirperturbative values. (ii) The effective action be-comes less local - couplings of higher-dimensionoperators, e.g. A60, completely neglected in theperturbative approach, become sizeable.The non-perturbatively determined coupling con-stants allow us, with certainty in principle, to ex-tend the validity of Dimensional Reduction belowtemperatures achieved perturbatively.sense, we attempt a non-perturbative improve-ment of the dimensionally reduced action.In that∗Talk presented by S. Kratochvila2. DIMENSIONAL REDUCTIONThe leading infrared behavior of 4d-SU(2)gauge theory at high temperatures is governed byits static (zero Matsubara frequency) sector, ob-tained by integrating out its non-static modes toleave behind an effective three-dimensional the-ory. The non-static modes are suppressed in theinfrared.At high temperature, g(T) becomessmall due to asymptotic freedom. A perturba-tive treatment of the non-static modes is justified.This is called Dimensional Reduction.The Euclidean action isS4d,E=?d3x?β0dτ14FaµνFµν,a.(1)Expanding the Aµ-fields into Fourier series in thetemporal direction, keeping only the static modesand integrating out all the others, we end up witha 3d-SU(2) gauge theory minimally coupled to aself-interacting adjoint scalar field [ 1]:S3d,eff=?+ m2d3x{14Faij,0Fij,a0+ Tr[Dj,Aa0,0][Dj,Aa0,0]DTr(Aa0,0)2+ λA(Tr(Aa0,0)2)2} (2)where the first term is the 3d-SU(2) gauge theoryand the second term is the kinetic term of thestatic adjoint Higgs Field A0,0. The coefficients ofthis 3d effective action, the gauge coupling g3, theDebye mass mDand the quartic coupling λA, canbe determined from the perturbative expansion,or numerically as follows.

    阅读了该文档的用户还阅读了这些文档

    188宝金博页面版:关于我们

    188宝金博页面版:帮助中心

    188宝金博页面版:关注我们

    • 新浪微博

    关注188宝金博页面版公众号

    188宝金博页面版
    阅读
    APP
    阅读
    返回
    顶部
    188宝金博页面版官网登录在线平台入口（2026已更新）—江苏协昌电子科技股份有限公司