Product integral representations of Wilson lines and Wilson loops and non-Abelian Stokes theorem

KARP, Robert L.; MANSOURI, Freydoon; RNO, Jung S.

Product integral representations of Wilson lines and Wilson loops and non-Abelian Stokes theorem

Robert L. KARP, (Physics Department, Univercity of Cincinnati, Cincinnati, OH USA)

Freydoon MANSOURI, (Physics Department, Univercity of Cincinnati, Cincinnati, OH USA)

Jung S. RNO (Physics Department, Univercity of Cincinnati, Cincinnati, OH USA)

Turkish Journal of Physics

1 0

Yıl: 2000 Cilt: 24 Sayı: 3 Sayfa Aralığı: 365 - 384 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Product integral representations of Wilson lines and Wilson loops and non-Abelian Stokes theorem

Öz:

We make use of product integrals to provide an unambiguous mathematical representation of Wilson line and Wilson loop operators. Then, drawing upon various properties of product integrals, we discuss such properties of Wilson lines and Wilson loops as approximating them with partial sums, their convergence, and their behavior under gauge transformations. We also obtain a surface product integral representation for the Wilson loop operator. The result can be interpreted as the non-abelian version of Stokes theorem.

Anahtar Kelime:

Konular: Fizik, Uygulamalı

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	KARP R, MANSOURI F, RNO J (2000). Product integral representations of Wilson lines and Wilson loops and non-Abelian Stokes theorem. , 365 - 384.
Chicago	KARP Robert L.,MANSOURI Freydoon,RNO Jung S. Product integral representations of Wilson lines and Wilson loops and non-Abelian Stokes theorem. (2000): 365 - 384.
MLA	KARP Robert L.,MANSOURI Freydoon,RNO Jung S. Product integral representations of Wilson lines and Wilson loops and non-Abelian Stokes theorem. , 2000, ss.365 - 384.
AMA	KARP R,MANSOURI F,RNO J Product integral representations of Wilson lines and Wilson loops and non-Abelian Stokes theorem. . 2000; 365 - 384.
Vancouver	KARP R,MANSOURI F,RNO J Product integral representations of Wilson lines and Wilson loops and non-Abelian Stokes theorem. . 2000; 365 - 384.
IEEE	KARP R,MANSOURI F,RNO J "Product integral representations of Wilson lines and Wilson loops and non-Abelian Stokes theorem." , ss.365 - 384, 2000.
ISNAD	KARP, Robert L. vd. "Product integral representations of Wilson lines and Wilson loops and non-Abelian Stokes theorem". (2000), 365-384.

APA	KARP R, MANSOURI F, RNO J (2000). Product integral representations of Wilson lines and Wilson loops and non-Abelian Stokes theorem. Turkish Journal of Physics, 24(3), 365 - 384.
Chicago	KARP Robert L.,MANSOURI Freydoon,RNO Jung S. Product integral representations of Wilson lines and Wilson loops and non-Abelian Stokes theorem. Turkish Journal of Physics 24, no.3 (2000): 365 - 384.
MLA	KARP Robert L.,MANSOURI Freydoon,RNO Jung S. Product integral representations of Wilson lines and Wilson loops and non-Abelian Stokes theorem. Turkish Journal of Physics, vol.24, no.3, 2000, ss.365 - 384.
AMA	KARP R,MANSOURI F,RNO J Product integral representations of Wilson lines and Wilson loops and non-Abelian Stokes theorem. Turkish Journal of Physics. 2000; 24(3): 365 - 384.
Vancouver	KARP R,MANSOURI F,RNO J Product integral representations of Wilson lines and Wilson loops and non-Abelian Stokes theorem. Turkish Journal of Physics. 2000; 24(3): 365 - 384.
IEEE	KARP R,MANSOURI F,RNO J "Product integral representations of Wilson lines and Wilson loops and non-Abelian Stokes theorem." Turkish Journal of Physics, 24, ss.365 - 384, 2000.
ISNAD	KARP, Robert L. vd. "Product integral representations of Wilson lines and Wilson loops and non-Abelian Stokes theorem". Turkish Journal of Physics 24/3 (2000), 365-384.