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arXiv 1810.09508hep-th
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形式基础物理学的实用方法

A pragmatic approach to formal fundamental physics

Daniel Friedan

摘要:

一个最小的实际形式结构的基本理论的建议。审查产生这种结构的机制。提出的机制有可能在SU(2)和SU(3)量子规范理论中产生非正则现象。这些可以提供可测试的条件预测。一种可能性是SU(2)规范场的真空凝聚与SU(2)杨-米尔斯流的某些轨迹相关联。目录1形式基础物理1.1反对量子引力1.2反对数学理想化2最小实用形式结构2.1对于距离> L的有效QFT和距离< L的有效S-矩阵,对于每个尺度L >> l_P的观察者2.2 QFT重整化群从较小的距离L到较大的距离L运行; S-矩阵重整化群从较大的L到较小的L运行2.3 S-矩阵并不意味着哈密顿量3.1产生这种形式结构的机制3.1总结3.2弦世界表的2d-QFT 3.3有效弦S-3.4有效二维耦合常数3.5实现S-矩阵重整化群3.6产生有效的具有UV截止的QFT 3.7 SU(2)和SU(3)中可能的非正则自由度和耦合量子规范理论3.8二维缠绕模和二维瞬子3.9 SU(2)的真空凝聚态杨-米尔斯流缺陷4做附录。A.1寻找产生QFT的机制A.2实用主义和S矩阵哲学

英文摘要:

A minimal practical formal structure for a fundamental theory is suggested. A mechanism that produces such a structure is reviewed. The proposed mechanism has possibilities of producing non-canonical phenomena in SU(2) and SU(3) quantum gauge theories. These might provide testable conditional predictions. One possibility is a vacuum condensate of SU(2) gauge fields associated to certain trajectories of the SU(2) Yang-Mills flow. Contents 1 Formal fundamental physics 1.1 Against Quantum Gravity 1.2 Against mathematical idealizations 2 A minimal practical formal structure 2.1 An effective QFT for distances > L and an effective S-matrix for distances < L, for observers at every scale L >> l_P 2.2 QFT renormalization group operates from smaller distance L to larger; S-matrix renormalization group operates from larger L to smaller 2.3 An S-matrix does not imply a hamiltonian 3 A mechanism that produces such a formal structure 3.1 Summary 3.2 2d-QFT of the string worldsheet 3.3 Effective string S-matrix with IR cutoff L 3.4 Effective 2d coupling constants 3.5 Implement the S-matrix renormalization group 3.6 Production of an effective QFT with UV cutoff L 3.7 Possible non-canonical degrees of freedom and couplings in SU(2) and SU(3) quantum gauge theory 3.8 2d winding modes and 2d instantons 3.9 Vacuum condensate of SU(2) Yang-Mills flow defects 4 To do Appendix. Notes on the line of thought A.1 Search for a mechanism that produces QFT A.2 Pragmatism and the S-matrix philosophy

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