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- In theoretical physics, the Batalin–Vilkovisky (BV) formalism (named for Igor Batalin and Grigori Vilkovisky) was developed as a method for determining the ghost structure for Lagrangian gauge theories, such as gravity and supergravity, whose corresponding Hamiltonian formulation has constraints not related to a Lie algebra (i.e., the role of Lie algebra structure constants are played by more general structure functions). The BV formalism, based on an action that contains both fields and "antifields", can be thought of as a vast generalization of the original BRST formalism for pure Yang–Mills theory to an arbitrary Lagrangian gauge theory. Other names for the Batalin–Vilkovisky formalism are field-antifield formalism, Lagrangian BRST formalism, or BV–BRST formalism. It should not be confused with the , which is the Hamiltonian counterpart. (en)
- 이론물리학과 수학에서 바탈린-빌코비스키 대수(영어: Batalin–Vilkovisky algebra)는 게이지 이론을 BRST 양자화할 때 등장하는 대수이다. (ko)
- Batalin-Vilkovisky代数(Batalin-Vilkovisky algebra,简称BV代数)是Batalin和Vilkovisky在研究规范场的量子化过程中发现的一种代数结构。他们所提出的量子化方法(称为BV formailism或者BV quantization),是一种十分普遍而且有效的量子化方法,正受到越来越多的量子场论学家和弦理论家的重视和应用,而BV代数也越来越受到数学家们的重视。 (zh)
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- 이론물리학과 수학에서 바탈린-빌코비스키 대수(영어: Batalin–Vilkovisky algebra)는 게이지 이론을 BRST 양자화할 때 등장하는 대수이다. (ko)
- Batalin-Vilkovisky代数(Batalin-Vilkovisky algebra,简称BV代数)是Batalin和Vilkovisky在研究规范场的量子化过程中发现的一种代数结构。他们所提出的量子化方法(称为BV formailism或者BV quantization),是一种十分普遍而且有效的量子化方法,正受到越来越多的量子场论学家和弦理论家的重视和应用,而BV代数也越来越受到数学家们的重视。 (zh)
- In theoretical physics, the Batalin–Vilkovisky (BV) formalism (named for Igor Batalin and Grigori Vilkovisky) was developed as a method for determining the ghost structure for Lagrangian gauge theories, such as gravity and supergravity, whose corresponding Hamiltonian formulation has constraints not related to a Lie algebra (i.e., the role of Lie algebra structure constants are played by more general structure functions). The BV formalism, based on an action that contains both fields and "antifields", can be thought of as a vast generalization of the original BRST formalism for pure Yang–Mills theory to an arbitrary Lagrangian gauge theory. Other names for the Batalin–Vilkovisky formalism are field-antifield formalism, Lagrangian BRST formalism, or BV–BRST formalism. It should not be confu (en)
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- Batalin–Vilkovisky formalism (en)
- 바탈린-빌코비스키 대수 (ko)
- 巴塔林-维尔可维斯基代数 (zh)
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