Quantum field theory and noncommutative geometry

Quantum field theory and noncommutative geometry
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DOI:
10.1007/b102320
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发表时间:
2005
期刊:
Lecture Notes in Physics
影响因子:
--
通讯作者:
U. Carow-Watamura;Y. Maeda;S. Watamura
U. Carow-Watamura;Y. Maeda;S. Watamura
中科院分区:
其他
文献类型:
--
作者:
U. Carow-Watamura;Y. Maeda;S. Watamura

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这卷反映了数学家和理论物理学家之间日益增长的合作,以治疗量子场论的基础上使用的数学工具q-变形代数和非交换微分几何。一个特殊的挑战是由重力,这可能需要扩展这些方法的几何形状的最小长度,因此量化的空间。这卷建立在讲座和会谈,已在最近的会议上给出了“量子场论和非对易几何。“投入了相当大的努力,使更广泛的读者群体能够获得这些贡献,因此,这本书不仅有利于该领域的研究人员,也有利于希望更好地了解这一领域的相关领域的研究生和科学家。
This volume reflects the growing collaboration between mathematicians and theoretical physicists to treat the foundations of quantum field theory using the mathematical tools of q-deformed algebras and noncommutative differential geometry. A particular challenge is posed by gravity, which probably necessitates extension of these methods to geometries with minimum length and therefore quantization of space. This volume builds on the lectures and talks that have been given at a recent meeting on" Quantum Field Theory and Noncommutative Geometry." A considerable effort has been invested in making the contributions accessible to a wider community of readers-so this volume will not only benefit researchers in the field but also postgraduate students and scientists from related areas wishing to become better acquainted with this field.