A compendium of sphere path integrals

被引:12
|
作者
Law, Y. T. Albert [1 ]
机构
[1] Columbia Univ, Dept Phys, 538 West 120th St, New York, NY 10027 USA
关键词
Field Theories in Higher Dimensions; Higher Spin Symmetry; Models of Quantum Gravity; MASSLESS FIELDS; QUANTUM-GRAVITY; GAUGE-FIELDS; HIGHER SPINS; PROPAGATION; STABILITY; EQUATIONS; PHASE;
D O I
10.1007/JHEP12(2021)213
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
We study the manifestly covariant and local 1-loop path integrals on Sd+1 for general massive, shift-symmetric and (partially) massless totally symmetric tensor fields of arbitrary spin s >= 0 in any dimensions d >= 2. After reviewing the cases of massless fields with spin s >= 1, 2, we provide a detailed derivation for path integrals of massless fields of arbitrary integer spins s >= 1. Following the standard procedure of Wick-rotating the negative conformal modes, we find a higher spin analog of Polchinski's phase for any integer spin s >= 2. The derivations for low-spin (s = 0, 1, 2) massive, shift-symmetric and partially massless fields are also carried out explicitly. Finally, we provide general prescriptions for general massive and shift-symmetric fields of arbitrary integer spins and partially massless fields of arbitrary integer spins and depths.
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页数:52
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