The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Classical and quantum scattering on a spinning cone
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Cites
Three-dimensional Einstein gravity: Dynamics of flat space
Deser, S., Jackiw, R., & 't Hooft, G. (1984) · Annals of Physics · doi:10.1016/0003-4916(84)90085-x · Cited by 1,222
Self-citation
Research works printed but not linked: 12
- 't Hooft, G.: Commun. Math. Phys.117, 685 (1988) · DOI
- Deser, S., Jackiw, R.: Commun. Math. Phys.118, 495 (1988) · DOI · Paper page
- Gott, J.: Ap. J.288, 422 (1985); for a review see Vilenkin, A.: Phys. Rep.121, 263 (1985). The spinning cosmic string was considered by Mazur, P.: Phys. Rev.D34, 1925 (1986), and simultaneously to our work by Harari, D. and Polychronakos, A.: Phys. Rev.D38, 3320 (1988) · DOI · Paper page
- The generalization to arbitrary numbers of spinning point particles is given by Clément, G.: Int. J. Theor. Phys.24, 281 (1985), who also studies classical motion · DOI
- Sommerfeld, A.: Math. Ann,47, 317 (1896) and Optics. New York, NY: Academic Press 1954 · DOI · Paper page
- We see no reason for energy to be quantized or timet to be periodic as has been claimed by Mazur, P.: Phys. Rev. Lett.57, 929 (1986). Our objections to the reasoning in that paper coincide with those raised by Samuel, J., Iyer, B.: Phys. Rev. Lett.59, 2379 (1987) and are apparently accepted by Mazur, P.: Phys. Rev. Lett.59, 2380 (1987) · DOI
- Wigner, E.: Phys. Rev.98, 145 (1955) · DOI
- A mathematical investigation of Dirac operators on spaces with conical singularities is by Chou, A.: Trans. Am. Math. Soc.289 1 (1985) · DOI
- Deser, S., Jackiw, R., Templeton, S.: Ann Phys. (NY)140, 372 (1982) The normalization in (5.4) is chosen so that a well-defined zero mass limit may be taken. But recall that the interpretation of the massless theory is quite different, as might be expected since spin is discontinuous whenm passes through zero. A redefinition of the fields in the massless Dirac theory $$\phi (k)e^{ikr} = \left( {\begin{array}{*{20}c} {\sqrt {k_x - ik_y } } & 0 \\ 0 & {\sqrt {k_x + ik_y } } \\ \end{array} } \right)\exp \left\{ {\frac{\pi }{4}\hat k^i \sigma ^i } \right\}\psi _k^0 (r)$$ exhibits their almost scalar nature, with discontinuous behaviour under rotationR ? , $$\phi (k)\xrightarrow[{R_\theta }]{}\left\{ {\begin{array}{*{20}c} { \phi (R_\theta ^{ - 1} k) if 0 \leqq \theta \leqq 2\pi } \\ { - \phi (R_\theta ^{ - 1} k) if 2\pi< \theta< 4\pi } \\ \end{array} } \right.$$ because the functions $$\sqrt {k_x \mp ik_y } $$ are double-valued; see Binegar, B.: J. Math. Phys.23, 1511 (1982). Parity is not violated in this case · DOI · Paper page
- Similar problems have been studied in monopole physics by Goldhaber, A.: Phys. Rev.D16, 1815 (1977) and Callias, C.: Phys. Rev.D16, 3068 (1977), who found that thes-wave radial Dirac Hamiltonian is not self-adjoint. Chou in ref. 9 recognized the possible loss of self-adjointness of the Dirac operator on conical spaces, but did not study extensions
- Alvarez-Gaumé, L., Della Pietra, S., Moore, G.: Ann. Phys. (NY)163, 288 (1985); Goni, M., Valle, M.: Phys. Rev.D34, 648 (1986); Vuorio, I.: Phys. Lett.B175, 176 (1986) · DOI · Paper page
- Deser, S., Jackiw, R., Templeton, S.: Phys. Rev. Lett.48, 975 (1982) and Ann. Phys. (NY)140, 372 (1982 · DOI
Cited by
Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe
Carlip, S. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-1 · Cited by 172
Quantum group symmetry and particle scattering in (2+1)-dimensional quantum gravity
Bais, F. A., Muller, N. M., & Schroers, B. J. (2002) · Nuclear Physics B · doi:10.1016/s0550-3213(02)00572-2 · Cited by 72
Measuring the metric in (2+1)-dimensional quantum gravity
Carlip, S. (1991) · Classical and Quantum Gravity · doi:10.1088/0264-9381/8/1/007 · Cited by 31
Metadata
- Authors
- de Sousa Gerbert, P., & Jackiw, R.
- Venue
- Communications in Mathematical Physics
- Published
- 1989-06
- Volume
- 124
- Issue
- 2
- Pages
- 229-260
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2011358479
- Cited by
- 273
- References
- 1
- FWCI
- 28.14
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
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