Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Frank Thuillier"'
Publikováno v:
Nuclear Physics B, Vol 925, Iss , Pp 536-559 (2017)
A general method for the construction of smooth flat connections on 3-manifolds is introduced. The procedure is strictly connected with the deduction of the fundamental group of a manifold M by means of a Heegaard splitting presentation of M. For any
Externí odkaz:
https://doaj.org/article/cfa9c52a209f47638394cc6263ac8857
Autor:
Enore Guadagnini, Frank Thuillier
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 4, p 078 (2008)
For the Abelian Chern-Simons field theory, we consider the quantum functional integration over the Deligne-Beilinson cohomology classes and we derive the main properties of the observables in a generic closed orientable 3-manifold. We present an expl
Externí odkaz:
https://doaj.org/article/c464606224734891abc1e61fdc3aba34
We consider topological gauge theories in three dimensions which are defined by metric independent lagrangians. It has been claimed that the functional integration necessarily depends nontrivially on the gauge-fixing metric. We demonstrate that the p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bba1c98345dd57d5d03be76db271bb8e
Autor:
Frank Thuillier
Publikováno v:
J.Math.Phys.
J.Math.Phys., 2020, 61 (11), pp.112302. ⟨10.1063/5.0027779⟩
J.Math.Phys., 2020, 61 (11), pp.112302. ⟨10.1063/5.0027779⟩
International audience; In Paper I [F. Thuillier, “3D topological models and Heegaard splitting I: Partition function,” J. Math. Phys. 60, 32 (2019)], a construction of the smooth Deligne–Beilinson cohomology groups HDp(M) on a closed 3-manifol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef7c6058e182ba7471b069f5743d7225
http://arxiv.org/abs/2008.04777
http://arxiv.org/abs/2008.04777
Publikováno v:
Nuclear Physics B, Vol 925, Iss, Pp 536-559 (2017)
Nucl.Phys.B
Nucl.Phys.B, 2017, 925, pp.536-559. ⟨10.1016/j.nuclphysb.2017.10.021⟩
Nucl.Phys.B, 2017, 925, pp.536-559. 〈10.1016/j.nuclphysb.2017.10.021〉
Nuclear Physics B
Nucl.Phys.B
Nucl.Phys.B, 2017, 925, pp.536-559. ⟨10.1016/j.nuclphysb.2017.10.021⟩
Nucl.Phys.B, 2017, 925, pp.536-559. 〈10.1016/j.nuclphysb.2017.10.021〉
Nuclear Physics B
A general method for the construction of smooth flat connections on 3-manifolds is introduced. The procedure is strictly connected with the deduction of the fundamental group of a manifold M by means of a Heegaard splitting presentation of M. For any
Autor:
Frank Thuillier
Publikováno v:
J.Math.Phys.
J.Math.Phys., 2019, 60 (4), pp.043505. ⟨10.1063/1.5079618⟩
J.Math.Phys., 2019, 60 (4), pp.043505. ⟨10.1063/1.5079618⟩
International audience; The aim of this article is twofold: first, we show how to recover the smooth Deligne-Beilinson cohomology groups from a Heegaard splitting of a closed oriented smooth 3-manifold by extending the usual Čech-de Rham constructi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a9bfedfee895126abbb689540b0963bc
https://hal.archives-ouvertes.fr/hal-01921698
https://hal.archives-ouvertes.fr/hal-01921698
Mathematical Foundations of Quantum Field Theory : A volume dedicated to the Memory of Raymond Stora
Publikováno v:
Elsevier., 912, pp.1-484, 2016, Nuclear Physics B
International audience
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______3430::81d8c84413f74c856a77675726e03c97
https://hal.science/hal-03601674
https://hal.science/hal-03601674
Autor:
Frank Thuillier, P. Mathieu
Publikováno v:
Nucl.Phys.B
Nucl.Phys.B, 2016, 912, pp.327-353. ⟨10.1016/j.nuclphysb.2016.05.007⟩
Nuclear Physics B
Nuclear Physics B, Vol 912, Iss C, Pp 327-353 (2016)
Nucl.Phys.B, 2016, 912, pp.327-353. ⟨10.1016/j.nuclphysb.2016.05.007⟩
Nuclear Physics B
Nuclear Physics B, Vol 912, Iss C, Pp 327-353 (2016)
International audience; In this article we show that the use of Deligne–Beilinson cohomology in the context of the U(1) BF theory on a closed 3-manifold M yields a discrete ZN BF theory whose partition function is an abelian TV invariant of M . By
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::474cd1dc79f6c52432d94a5733ec149f
Publikováno v:
Physics Letters A
Physics Letters A, Elsevier, 2018, 33, ⟨10.1142/S0217732318500128⟩
Physics Letters A, Elsevier, 2018, 33, ⟨10.1142/S0217732318500128⟩
In this article we investigate an interpolating gauge fixing procedure in $(4l+3)$-dimensional abelian Chern-Simons theory. We show that this interpolating gauge is related to the covariant gauge in a constant anisotropic metric. We compute the corre
Publikováno v:
Physics Letters A
Physics Letters A, Elsevier, 2015, 30, pp.1550102
Physics Letters A, Elsevier, 2015, 30, pp.1550102
We revisit the implementation of the metric-independent Fock–Schwinger gauge in the Abelian Chern–Simons field theory defined in ℝ3 by means of a homotopy condition. This leads to the Lagrangian [Formula: see text] in terms of curvatures F and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::519b974de13cd3463c5c23c4b3d3d309
https://hal.archives-ouvertes.fr/hal-00968613
https://hal.archives-ouvertes.fr/hal-00968613