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CPT Violation and Lorentz Violation

 
This forum is locked: you cannot post, reply to, or edit topics.   This topic is locked: you cannot edit posts or make replies.    jcYoon's Physics Forum Index -> Professor OW Greenberg
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jcyoon



Joined: 08 Aug 2006
Posts: 213

PostPosted: Mon Oct 23, 2006 1:38 pm    Post subject: CPT Violation and Lorentz Violation Reply with quote

owgreen@physics.umd.edu
Sat 2004-10-02 4:52 AM

Dear Professor Greenberg,

Recently, I have read your paper on CPT violation and Lorentz violation(PRL 89, 231602, 2002).

Your agrument is based on the assumption that vacuum expectation values are Lorentz invariant.
However, the validity of this assumptions is in question as nonzero neutrino mass suggests a
significant change in definition of parity so that parity violation should mean Lorentz violation.

I am not sure how to answer this question. I would like to appreciate your opinion on this.

I sincerely apologize for your time and effort if you find it unworthy of your attention.

Thanks,
J.C. Yoon
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OW Greenberg



Joined: 23 Oct 2006
Posts: 1

PostPosted: Mon Oct 23, 2006 1:41 pm    Post subject: Re: CPT Violation and Lorentz Violation Reply with quote

Wed 2004-10-06 2:07 AM

Dear Dr. Yoon,

Parity is violated in weak interactions regardless of whether or not
neutrinos have mass . Parity violation does not imply Lorentz violation.
The CPT theorem does not depend on whether or not parity is
violated. Please see my paper "Why is CPT fundamental?", hep-ph/0309309.

Best wishes,

O.W. Greenberg
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jcyoon



Joined: 08 Aug 2006
Posts: 213

PostPosted: Mon Oct 23, 2006 1:43 pm    Post subject: RE: CPT Violation and Lorentz Violation Reply with quote

Wed 2004-10-06 3:01 AM

Dear Professor Greenberg,
Thanks for your kind reply and your time.

As long as I know, the conclusion of parity violation in weak interactions
is based on the assumption of massless neutrino and they should have been
according to the following argument.

Parity has been considered to be different from Lorentz invariance
and helicity has been considered as a fundamental property of
particle since what its operator does to the helicity of massless
fermion, neutrino, could not be obtained by Lorentz transformations.
However, if it is massive, the helicity is indefite depending on the frame of reference frame
so that it is not a fundamental property of particle that identifying particle and parity
is one specific kind of Lorentz transformation.

For example, consider a left-handed neutrino. Under parity, it is supposed to be
transformed into a right-handed neutrino. However, if the left-handed neutrino
is massive, we can find a boosted frame in which this left-handed neutrino is observed
as a right-handed neutrino. Therefore, what parity operator does to a massive particle can
be achieved by Lorentz transformations.

I would like to appreciate if you can help me on this issue.

Thanks,
J.C. Yoon
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jcyoon



Joined: 08 Aug 2006
Posts: 213

PostPosted: Mon Oct 23, 2006 1:43 pm    Post subject: RE: CPT Violation and Lorentz Violation Reply with quote

Sat 2004-11-13 8:30 AM

Dear Professor Greenberg,
I am afraid if you find this email annoying and sincerely apologize
for bothering you, but I would like to let you know I am still waiting for
you response.

In my opinion, my argument concerns a critical issue regarding to
your paper of "CPT violation implies violation of Lorentz invariance"
(PRL 89 (2002) 231602).

I would be grateful if you can share your opinion with me.

Thanks,
J.C. Yoon
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