DOI: 10.1007/bf02161414. The computation of characteristic classes of lattice gauge fields

The computation of characteristic classes of lattice gauge fields

10.1007/bf02161414

Crossref journal-article

Springer Science and Business Media LLC

Communications in Mathematical Physics (297)

Bibliography

Phillips, A. V., & Stone, D. A. (1990). The computation of characteristic classes of lattice gauge fields. Communications in Mathematical Physics, 131(2), 255â282.

Authors 2

Anthony V. Phillips (first)
David A. Stone (additional)

References 26 Referenced 17

Abraham, R., Robbin, J.: Transversal Mappings and Flows. New York: Benjamin 1967 / Transversal Mappings and Flows by R. Abraham (1967)
Adams, J.: On the cobar construction. In: Centre Belge de Recherches Mathématiques, Colloque de Topologie Algébrique (Louvain, 1956), Georges Thone, Liège (10.1073/pnas.42.7.409)
Bhanot, G., Fucito, F., Solomon, S.:SU(3) topological charge on the lattice. Phys. Lett.B194, 114–118 (1987) (10.1016/0370-2693(87)90779-9) / Phys. Lett. B by G. Bhanot (1987)
Brown, E.: Twisted tensor products I. Ann. Math.69, 223–246 (1959) (10.2307/1970101) / Ann. Math. by E. Brown (1959)
Buchberger, B.: Gröbner bases: An algorithmic model in polynomial ideal theory. In: Multidimensional Systems Theory. Bose, N. K. (ed), Dordrecht: Reidel 1985 / Multidimensional Systems Theory by B. Buchberger (1985)
Chern, S.: Complex Manifolds without Potential Theory. 2nd Ed. Berlin, Heidelberg, New York: Springer 1979 (10.1007/978-1-4684-9344-3) / Complex Manifolds without Potential Theory by S. Chern (1979)
Fabricius, K., Rossi, G. C.: Monte Carlo measurement of the topological susceptibility inSU(3) lattice gauge theory. Phys. Lett.127B, 229–232 (1983) (10.1016/0370-2693(83)90882-1) / Phys. Lett. by K. Fabricius (1983)
Göckeler, M., Kronfeld, A. S., Laursen, M. L., Shierholz, G., Wiese, U.-J.: Topology ofSU(3) lattice gauge theory. Nucl. Phys.B292, 349–362 (1987) (10.1016/0550-3213(87)90649-3) / Nucl. Phys. B by M. Göckeler (1987)
Griffiths, P., Harris, J.: Principles of Algebraic Geometry. New York: Wiley 1978 / Principles of Algebraic Geometry by P. Griffiths (1978)
Hoek, J.: Cooling ofSU(3) lattice gauge field configurations and the η′ mass. Phys. Lett166B, 199–202 (1986) (10.1016/0370-2693(86)91378-X) / Phys. Lett by J. Hoek (1986)
Kobayashi, S., Nomizu, K.: Foundations of Differential Geometry I. New York: Interscience 1963 / Foundations of Differential Geometry I. by S. Kobayashi (1963)
Kronfeld, A. S.: Topological aspects of lattice gauge theory. In: Proceedings, Lattice 87 Conference, Seillac, Nucl. Phys.B [Proc. Suppl.]4, 239–351 (1988) (10.1016/0920-5632(88)90123-5)
Laursen, M.:SU(3) lattice topology: A new, fast geometric charge algorithm. In: Proceedings, Fermilab Symposium on Lattice Field Theory. Kronfeld, A. S., Mackenzie, P. D. (eds.). Nucl. Phys.B [Proc. Suppl.],9, 411–415 (1989) (10.1016/0920-5632(89)90135-7)
Lasher, G.: The winding number of 3-complexes inSU(3). In: Proceedings, Fermilab Symposium on Lattice Field Theory. Kronfeld, A. S., Mackenzie, P. D. (eds.). Nucl. Phys.B [Proc. Suppl.]9, 416–421 (1989) (10.1016/0920-5632(89)90136-9)
Lasher, G.: Winding numbers ofSU(3) lattice gauge fields (to appear in Ann. Phys.)
Li, T., Sauer, T., Yorke, J.: Numerically determining solutions of systems of polynomial equations. Bull. Am. Math. Soc. (NS)18, 173–177 (1988) (10.1090/S0273-0979-1988-15639-X) / Bull. Am. Math. Soc. (NS) by T. Li (1988)
Lüscher, M.: Topology of lattice gauge fields. Commun. Math. Phys.85, 39–48 (1982) (10.1007/BF02029132) / Commun. Math. Phys. by M. Lüscher (1982)
Milnor, J.: Construction of universal bundles I. Ann. Math.63 272–284 (1956) (10.2307/1969609) / Ann. Math. by J. Milnor (1956)
Milnor, J.: Construction of universal bundles II. Ann. Math.63, 430–436 (1956) (10.2307/1970012) / Ann. Math. by J. Milnor (1956)
Milnor, J.: Singular Points of Complex Hypersurfaces, Annals of Math. Studies. No.61. Princeton, NJ: Princeton University Press 1968 / Singular Points of Complex Hypersurfaces / Annals of Math. Studies by J. Milnor (1968)
Milnor, J., Stasheff, J.: Characteristic Classes. Annals of Math. Studies vol.76. Princeton, NJ: Princeton University Press 1974 (10.1515/9781400881826) / Characteristic Classes / Annals of Math. Studies by J. Milnor (1974)
Parisi, G., Rapuano, F.: On theSU(3) topological charge in lattice gauge theories. Phys. Lett.152B, 218 (1985) (10.1016/0370-2693(85)91173-6) / Phys. Lett. by G. Parisi (1985)
Phillips, A.: Characteristic numbers ofU 1-valued lattice gauge fields. Ann. Phys.161, 399–422 (1985) (10.1016/0003-4916(85)90086-7) / Ann. Phys. by A. Phillips (1985)
Phillips, A., Stone, D.: Lattice gauge fields, principal bundles, and the calculation of topological charge. Commun. Math. Phys.103, 599–636 (1986) (10.1007/BF01211167) / Commun. Math. Phys. by A. Phillips (1986)
Robbiano, L. (ed); Computational Aspects of Commutative Algebra. New York: Academic Press 1989 / Computational Aspects of Commutative Algebra (1989)
Steenrod, N.: Topology of Fibre Bundles. Princeton: Princeton University Press 1951 (10.1515/9781400883875) / Topology of Fibre Bundles by N. Steenrod (1951)

Dates

Type	When
Created	19 years, 7 months ago (Jan. 25, 2006, 9:54 a.m.)
Deposited	5 years, 4 months ago (April 12, 2020, 5:01 a.m.)
Indexed	1 year, 9 months ago (Nov. 3, 2023, 11:27 a.m.)
Issued	35 years, 1 month ago (July 1, 1990)
Published	35 years, 1 month ago (July 1, 1990)
Published Print	35 years, 1 month ago (July 1, 1990)

Funders 0

None

BibTeX

@article{Phillips_1990, title={The computation of characteristic classes of lattice gauge fields}, volume={131}, ISSN={1432-0916}, url={http://dx.doi.org/10.1007/bf02161414}, DOI={10.1007/bf02161414}, number={2}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Phillips, Anthony V. and Stone, David A.}, year={1990}, month=jul, pages={255–282} }

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