Abstract
Three theorems on critical fluctuations and new concepts of isomorph spin, hyperspin, quablocks, and pioblocks are proposed, these new quantities correspond to the same symmetries although they have distinguishable values in different lattice systems. The self-similar transformations take place not only in the ordblocks, but also in the disblocks. In the quablocks sense, the critical fluctuation is analogous to the asymptotic freedom of the quark theory, and the reciprocal transformation between the ordblocks and disblocks is like the transfer between protons and neutrons. There are three transition temperatures, different temperature regions correspond to different symmetries and gauge invariances, leading to that there is no unified quantum theory.
Highlights
The basic idea of lattice quantum chromodynamics was introduced by K
Three theorems on critical fluctuations and new concepts of isomorph spin, hyperspin, quablocks, and pioblocks are proposed, these new quantities correspond to the same symmetries they have distinguishable values in different lattice systems
There are three transition temperatures, different temperature regions correspond to different symmetries and gauge invariances, leading to that there is no unified quantum theory
Summary
The basic idea of lattice quantum chromodynamics was introduced by K. The lattice field theory is very similar to the continuous phase transition of the lattice system: Many physical quantities such as thermal capacity and susceptibility will diverge at the critical temperature, which is equivalent to the ultraviolet divergence in quantum field theory. The critical ups and downs are not disorganized, there are symmetries and gauge invariance They govern the fluctuation process and determine the rule of the structure adjustment. It’s the Gaussian function that proves the minimum block spin Smin relates to the critical point. It cannot be a self-similar transformation for the fractional side length n* , which will force the system to adjust the sides to be integers Where the n+ and the n− are integer numbers nearest neighbor to n* , and n+ > n* , n− < n* , their blocks are n+-blocks and n−-blocks, respectively
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