In mathematics, a Borchers algebra, Borchers–Uhlmann algebra, or BU-algebra is the tensor algebra of a vector space, often a space of smooth test functions. They were studied by H. J. Borchers (1962), who showed that the Wightman distributions of a quantum field could be interpreted as a state, called a Wightman functional, on a Borchers algebra. A Borchers algebra with a state can often be used to construct an O*-algebra.
The Borchers algebra of a quantum field theory has an ideal called the locality ideal, generated by elements of the form ab−ba for a and b having spacelike-separated support. The Wightman functional of a quantum field theory vanishes on the locality ideal, which is equivalent to the locality axiom for quantum field theory.
functional, on a Borchersalgebra. A Borchersalgebra with a state can often be used to construct an O*-algebra. The Borchersalgebra of a quantum field...
Borchers is a surname. Notable people with the surname include: Adolf Borchers (1913–1996), fighter ace A. Webber Borchers (1906-1989), American politician...
in terms of a state called a Wightman functional on a Borchersalgebra equal to the tensor algebra of a space of test functions. One can generalize the...
January 28, 1948) is an American mathematician specializing in linear algebra. He is a Class of 1961 professor of mathematics at College of William and...
Maranville; A. L. Balk; B. J. Kirby; P. Fischer; D. T. Pierce; J. Unguris; J. A. Borchers; K. Liu (8 October 2015). "Realization of ground state artificial skyrmion...
Research and Financial Engineering. 2006. doi:10.1007/978-0-387-40065-5. Borchers, Brian. "An Overview Of Software For Convex Optimization" (PDF). Archived...
the 18th International Conference on Software Engineering. pp. 25–30. Borchers, Jan (2001). A Pattern Approach to Interaction Design. John Wiley & Sons...
Gordon, Robert Bender, and Gabor Herman in 1970, where it is called the Algebraic Reconstruction Technique (ART). ART includes the positivity constraint...
Themes, Settings and Series ). An adviser from 1975 to 1977, Donald P. Borchers became a film producer, notable for the 1984 and 2009 versions of Children...
"Fredenhagen, Klaus". Hamburg University (in German). Retrieved March 29, 2021. Borchers, Hans-Jürgen (1992). "The CPT theorem in two-dimensional theories of local...
Wiley & Sons, Incorporated 1959, ISBN 0-471-04223-4 / 9780471042235. H.J. Borchers (Dec 1984) "Locality and Covariance of the Spectrum", Fizika 17:289-304...
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