Weak interactions and unitary symmetry breaking

1967 ◽  
Vol 22 (1-4) ◽  
pp. 47-50
Author(s):  
P. Möbius

After hearing the material presented in the previous talks, one can question the further need for tests of unitary symmetry in strong interactions since it is now clear that unitary symmetry is good enough to play an essential role in any description of strong interactions. However, it is also clear that unitary symmetry is still bad enough to be interesting—in contrast to isospin, which is so good that it cannot teach us anything more about strong interactions. We know that any dynamical theory describing strong interactions must be invariant under isospin transformations. There is nothing further that can be learned about strong interactions from isospin. On the other hand, we know that a dynamical theory correctly describing strong interactions should be invariant under SU 3 transformations only to some approximation. The remarkable regularities observed in the breaking of unitary symmetry (e.g. the mass formula) tell us more about strong interactions than their transformation properties under a particular group. Although these regularities apparently result only from the assumption of certain transformation properties for the symmetry breaking part of the strong interaction, an additional dynamical assumption is required, namely that the symmetry breaking can be treated by first order perturbation theory. It is a test of the detailed dynamics of the system, not merely of the symmetry, to show how such large symmetry breaking effects can be described by what is apparently only first order perturbation theory.


1965 ◽  
Vol 72 (3) ◽  
pp. 692-694
Author(s):  
B. Dutta Roy ◽  
C.S. Mukherjee ◽  
Salil Roy

Symmetry ◽  
2018 ◽  
Vol 10 (12) ◽  
pp. 737 ◽  
Author(s):  
Andreas Schlatter

We show that probabilities in quantum physics can be derived from permutation-symmetry and the principle of indifference. We then connect unitary-symmetry to the concept of “time” and define a thermal time-flow by symmetry breaking. Finally, we discuss the coexistence of quantum physics and relativity theory by making use of the thermal time-flow.


The subject I am supposed to report on is intermediate bosons and unitary symmetry. This is a difficult subject for two reasons. The first is that there is at the present time no experimental evidence at all that these bosons really exist. The second one is that, even if they exist, we do not know whether they have really something to do with unitary symmetry. These are serious objections, especially the first. The reason why, in spite of it, I still want to give this talk is the following. Most theoretical physicists believe, I think, that we cannot live for ever with the weak interactions just being described by effective Fermi coupling constants and the like.


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