Tachyon Potential in a Magnetic Field with Anomalous Dimensi(7)

Products defined in the context of noncommutative gauge theory allow for an interpolation between exact results on tachyon potentials at zero and large background B-fields. Techniques for computations of effective actions are transposed from the framework

withallordersnallowed(theyareonlyformallyde nedforn>5inthegauge-theorycontextbecauseofthedimensionoftheworld-volumeandthegradinginducedbyfermioniczeromodes).Withthesenotationsthe rstfewtermsare:

W4=ζ(2)

3

W8=ζ(4)

2tr[(hu)3], ζ(2)

ntr[(hu)n].

Sinceuµνissymmetric,thetracescanbeexpressedeitherascontractionswithhorht,sothatwecanmakecontactwiththemoresymmetricnotationsof[22]:

tr[((G 1+θ)u)n]=tr[(hu)n]=tr[(utht)n]=tr[(u(G 1 θ))n].

WearereadytousetheΓ-functionidentity

e γzΓ(1 z)=exp ζ(n)

n≥2

2 n≥2tr[((G 1+θ)u)n]exp

detΓ(1 (G 1 1 +θ)u)

百度搜索“77cn”或“免费范文网”即可找到本站免费阅读全部范文。收藏本站方便下次阅读，免费范文网，提供经典小说教育文库Tachyon Potential in a Magnetic Field with Anomalous Dimensi(7)在线全文阅读。