Weyl double copy and massless free-fields in curved spacetimes
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Weyl double copy and massless free-fields in curved spacetimes. / Han, Shanzhong.
I: Classical and Quantum Gravity, Bind 39, Nr. 22, 225009, 17.11.2022.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Weyl double copy and massless free-fields in curved spacetimes
AU - Han, Shanzhong
PY - 2022/11/17
Y1 - 2022/11/17
N2 - In spinor formalism, since any massless free-field spinor with spin higher than 1/2 can be constructed with spin-1/2 spinors (Dirac-Weyl (DW) spinors) and scalars, we introduce a map between Weyl fields and DW fields. We determine the corresponding DW spinors in a given empty spacetime. Regarding them as basic units, other higher spin massless free-field spinors are then identified. Along this way, we find some hidden fundamental features related to these fields. In particular, for non-twisting vacuum Petrov type N solutions, we show that all higher spin massless free-field spinors can be constructed with one type of DW spinor and the zeroth copy. Furthermore, we systematically rebuild the Weyl double copy for non-twisting vacuum type N and vacuum type D solutions. Moreover, we show that the zeroth copy not only connects the gravity fields with a single copy but also connects the degenerate Maxwell fields with the DW fields in the curved spacetime, both for type N and type D cases. Besides, we extend the study to non-twisting vacuum type III solutions. We find a particular DW scalar independent of the proposed map and whose square is proportional to the Weyl scalar. A degenerate Maxwell field and an auxiliary scalar field are then identified. Both of them play similar roles as the Weyl double copy. The result further inspires us that there is a deep connection between gravity theory and gauge theory.
AB - In spinor formalism, since any massless free-field spinor with spin higher than 1/2 can be constructed with spin-1/2 spinors (Dirac-Weyl (DW) spinors) and scalars, we introduce a map between Weyl fields and DW fields. We determine the corresponding DW spinors in a given empty spacetime. Regarding them as basic units, other higher spin massless free-field spinors are then identified. Along this way, we find some hidden fundamental features related to these fields. In particular, for non-twisting vacuum Petrov type N solutions, we show that all higher spin massless free-field spinors can be constructed with one type of DW spinor and the zeroth copy. Furthermore, we systematically rebuild the Weyl double copy for non-twisting vacuum type N and vacuum type D solutions. Moreover, we show that the zeroth copy not only connects the gravity fields with a single copy but also connects the degenerate Maxwell fields with the DW fields in the curved spacetime, both for type N and type D cases. Besides, we extend the study to non-twisting vacuum type III solutions. We find a particular DW scalar independent of the proposed map and whose square is proportional to the Weyl scalar. A degenerate Maxwell field and an auxiliary scalar field are then identified. Both of them play similar roles as the Weyl double copy. The result further inspires us that there is a deep connection between gravity theory and gauge theory.
KW - Weyl double copy
KW - massless free-fields
KW - vacuum type N solutions
KW - vacuum type D solutions
KW - vacuum type III solutions
KW - gauge theory
KW - spinor formalism
KW - GRAVITATIONAL-WAVES
U2 - 10.1088/1361-6382/ac96c2
DO - 10.1088/1361-6382/ac96c2
M3 - Journal article
VL - 39
JO - Classical and Quantum Gravity
JF - Classical and Quantum Gravity
SN - 0264-9381
IS - 22
M1 - 225009
ER -
ID: 327935426