Batalin-Vilkovisky Quantization and Generalizations

B 1997

Batalin-Vilkovisky Quantization and Generalizations

BERING LARSEN, Klaus

Základní údaje

Originální název

Batalin-Vilkovisky Quantization and Generalizations

Autoři

BERING LARSEN, Klaus (208 Dánsko, garant, domácí)

Vydání

Uppsala, Sweden, 114 s. Comprehensive summaries of Uppsala dissertations from the Faculty of Science and Technology, 1104-232X; 248, 1997

Nakladatel

Acta Universitatis Upsaliensis (PhD thesis)

Další údaje

Jazyk

angličtina

Typ výsledku

Odborná kniha

Obor

10303 Particles and field physics

Stát vydavatele

Švédsko

Utajení

není předmětem státního či obchodního tajemství

Forma vydání

tištěná verze "print"

Odkazy

URL

Organizační jednotka

Přírodovědecká fakulta

ISBN

91-554-3887-3

Klíčová slova anglicky

Batalin-Vilkovisky formalism; antibracket; quantum field theory; gauge theory;

Změněno: 13. 3. 2019 14:33, doc. Klaus Bering Larsen, Ph.D.

Anotace

V originále

Gauge theories play an important role in modern physics. Whenever a gauge symmetry is present, one should provide for a manifestly gauge independent formalism. It turns out that the BRST symmetry plays a prominent part in providing the gauge independence. The importance of gauge independence in the Hamiltonian Batalin-Fradkin-Fradkina-Vilkovisky formalism and in the Lagrangian Batalin-Vilkovisky formalism is stressed. Parallels are drawn between the various theories. // A Hamiltonian path integral that takes into account quantum ordering effects arising in the operator formalism, should be written with the help of the star-multiplication or the Moyal bracket. It is generally believed, that this leads to higher order quantum corrections in the corresponding Lagrangian path integral. A higher order Lagrangian path integral based on a nilpotent higher order odd Laplacian is proposed. A new gauge independence mechanism that adapts to the higher order formalism, and that by-passes the problem of constructing a BRST transformation of the path integral in the higher order case, is developed. // The new gauge mechanism is closely related to the cohomology of the odd Laplacian operator. Various cohomology aspects of the odd Laplacian are investigated. Whereas for instance the role of the ghost-cohomology properties of the BFV-BRST charge has been emphasized by several authors, the cohomology of the odd Laplacian is in general not well known.

Citovat

BERING LARSEN, Klaus. Batalin-Vilkovisky Quantization and Generalizations. Uppsala, Sweden: Acta Universitatis Upsaliensis (PhD thesis), 1997, 114 s. Comprehensive summaries of Uppsala dissertations from the Faculty of Science and Technology, 1104-232X; 248. ISBN 91-554-3887-3.

@book{1398110,
   author = {Bering Larsen, Klaus},
   address = {Uppsala, Sweden},
   keywords = {Batalin-Vilkovisky formalism; antibracket; quantum field theory; gauge theory;},
   howpublished = {tištěná verze "print"},
   language = {eng},
   location = {Uppsala, Sweden},
   isbn = {91-554-3887-3},
   publisher = {Acta Universitatis Upsaliensis (PhD thesis)},
   title = {Batalin-Vilkovisky Quantization and Generalizations},
   url = {https://libris.kb.se/bib/7426548},
   year = {1997}
}

TY  - BOOK
ID  - 1398110
AU  - Bering Larsen, Klaus
PY  - 1997
TI  - Batalin-Vilkovisky Quantization and Generalizations
VL  - Comprehensive summaries of Uppsala dissertations from the Faculty of Science and Technology, 1104-232X; 248
PB  - Acta Universitatis Upsaliensis (PhD thesis)
CY  - Uppsala, Sweden
SN  - 9155438873
KW  - Batalin-Vilkovisky formalism
KW  - antibracket
KW  - quantum field theory
KW  - gauge theory;
UR  - https://libris.kb.se/bib/7426548
L2  - https://libris.kb.se/bib/7426548
N2  - Gauge theories play an important role in modern physics. Whenever a gauge symmetry is present, one should provide for a manifestly gauge independent formalism. It turns out that the BRST symmetry plays a prominent part in providing the gauge independence. The importance of gauge independence in the Hamiltonian Batalin-Fradkin-Fradkina-Vilkovisky formalism and in the Lagrangian Batalin-Vilkovisky formalism is stressed. Parallels are drawn between the various theories. // A Hamiltonian path integral that takes into account quantum ordering effects arising in the operator formalism, should be written with the help of the star-multiplication or the Moyal bracket. It is generally believed, that this leads to higher order quantum corrections in the corresponding Lagrangian path integral. A higher order Lagrangian path integral based on a nilpotent higher order odd Laplacian is proposed. A new gauge independence mechanism that adapts to the higher order formalism, and that by-passes the problem of constructing a BRST transformation of the path integral in the higher order case, is developed. // The new gauge mechanism is closely related to the cohomology of the odd Laplacian operator. Various cohomology aspects of the odd Laplacian are investigated. Whereas for instance the role of the ghost-cohomology properties of the BFV-BRST charge has been emphasized by several authors, the cohomology of the odd Laplacian is in general not well known.
ER  -

BERING LARSEN, Klaus. \textit{Batalin-Vilkovisky Quantization and Generalizations}. Uppsala, Sweden: Acta Universitatis Upsaliensis (PhD thesis), 1997, 114 s. Comprehensive summaries of Uppsala dissertations from the Faculty of Science and Technology, 1104-232X; 248. ISBN~91-554-3887-3.

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