Aspects of Berry phase in QFT

被引:20
作者
Baggio, Marco [1 ]
Niarchos, Vasilis [2 ,3 ]
Papadodimas, Kyriakos [4 ,5 ]
机构
[1] Katholieke Univ Leuven, Inst Theoret Phys, Celestijnenlaan 200D, B-3001 Leuven, Belgium
[2] Univ Durham, Dept Math Sci, South Rd, Durham DH1 3LE, England
[3] Univ Durham, Ctr Particle Theory, South Rd, Durham DH1 3LE, England
[4] CERN, Phys Dept, Theory Grp, CH-1211 Geneva 23, Switzerland
[5] Univ Groningen, Van Swinderen Inst Particle Phys & Grav, Nijenborgh 4, NL-9747 AG Groningen, Netherlands
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2017年 / 04期
基金
欧盟地平线“2020”;
关键词
Nonperturbative Effects; Conformal Field Theory; Extended Supersymmetry; FIELD-THEORIES; REPRESENTATIONS; SPACE;
D O I
10.1007/JHEP04(2017)062
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
When continuous parameters in a QFT are varied adiabatically, quantum states typically undergo mixing - a phenomenon characterized by the Berry phase. We initiate a systematic analysis of the Berry phase in QFT using standard quantum mechanics methods. We show that a non-trivial Berry phase appears in many familiar QFTs. We study a variety of examples including free electromagnetism with a theta angle, and certain supersymmetric QFTs in two and four spacetime dimensions. We also argue that a large class of QFTs with rich Berry properties is provided by CFTs with non-trivial conformal manifolds. Using the operator-state correspondence we demonstrate in this case that the Berry connection is equivalent to the connection on the conformal manifold derived previously in conformal perturbation theory. In the special case of chiral primary states in 2d N = (2,2) and 4d N = 2 SCFTs the Berry phase is governed by the tt* equations. We present a technically useful rederivation of these equations using quantum mechanics methods.
引用
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页数:44
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