Article View: sci.physics
Article #4851Re: Spontaneous Symmetry Breaking
From: Jim Carr
Date: Tue, 06 Oct 1992 21:27
Date: Tue, 06 Oct 1992 21:27
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In article <1992Oct6.183626.24921@mnemosyne.cs.du.edu> aankrom@nyx.cs.du.edu (Anthony Ankrom) writes: > > I have never read this group so I have no idea if it has been sloshed >around before, butI would like to know, in a nutshell, just what >Spontaneous SymmetryBreaking is. ... In a nutshell, eh. How about in a wine bottle? Spontaneous symmmetry breaking is just what its name implies: one has a symmetry, say a single BB being dropped down the exact center of a recently emptied beer bottle. The BB will end up at the center of the bottom of the bottle because it is slightly concave. (OK, maybe it really isn't, but lets assume that it is.) This is an unbroken symmetry. Now use a wine bottle, which has a raised area in the center. In principle, the center is still an equilibrium point, but it is unstable. The BB will not end up in the center, but rather off to the side in some direction. The symmetry is broken, spontaneously. It really does not matter what direction the BB chose, since the BB now defines a unique reference direction in the bottle. In physical systems, this sort of mechanism is used to explain how a particle can be described by equations that are symmetric about m=0 and yet acquire a non-zero mass that breaks the symmetry. > CH3 O CH(CH3)2 | dadaMatrix > >-P-S-CH2CH2-N< VX | > CH3CH2O CH(CH3)2 | aankrom@nyx.cs.du.edu > | A kinder gentler lobotomy... Now, could you explain what that thing in your signature is to those of us who are chemically challenged? -- J. A. Carr | "The New Frontier of which I jac@gw.scri.fsu.edu | speak is not a set of promises Florida State University B-186 | -- it is a set of challenges." Supercomputer Computations Research Institute | John F. Kennedy (15 July 60)
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Path: arc1-ca.pugleaf.net!sparky!uunet!cis.ohio-state.edu!magnus.acs.ohio-state.edu!usenet.ins.cwru.edu!gatech!mailer.cc.fsu.edu!sun13!ds8.scri.fsu.edu!jac From: jac@ds8.scri.fsu.edu (Jim Carr) Newsgroups: sci.physics Subject: Re: Spontaneous Symmetry Breaking Message-ID: <11027@sun13.scri.fsu.edu> Date: 6 Oct 92 21:27:20 GMT References: <1992Oct6.183626.24921@mnemosyne.cs.du.edu> Sender: news@sun13.scri.fsu.edu Reply-To: jac@ds8.scri.fsu.edu (Jim Carr) Organization: SCRI, Florida State University Lines: 37