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Three Roads To Quantum Gravity

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112 THREE ROADS TO QUANTUM GRAVITY<br />

q<br />

q<br />

q<br />

q<br />

q<br />

q<br />

FIGURE 21<br />

Quarks are held together by strings made of quantized ¯ux lines of a ®eld,<br />

called the QCD ®eld, which are analogous to the quantized magnetic ¯ux<br />

lines in a superconductor (Figure 20). As the quarks are pulled farther apart,<br />

the ¯ux lines are stretched, and the force between the quarks is the same no<br />

matter how far apart they are. The result is that the quarks cannot be pulled<br />

apart.<br />

perhaps empty space is very like a superconductor, except<br />

that what ends up discrete is the lines of force holding the<br />

colour charges of quarks together rather than the lines of<br />

magnetic ¯ux. In this picture the lines of force between the<br />

coloured charges on the quarks are analogous to the electric<br />

rather than the magnetic ®eld. So this hypothesis can be put<br />

very succinctly as follows: empty space is a colour-electric<br />

superconductor. This has been one of the most seminal ideas<br />

in elementary particle physics over the last few decades. It<br />

explains why quarks are con®ned in protons and neutrons, as<br />

well as many other facts about elementary particles. But what<br />

is really interesting is that the idea, clear as it is, contains a<br />

puzzle, for it can be looked it in two quite different ways.<br />

One can take the colour-electric ®eld as the fundamental<br />

entity, and then try to understand the picture of a string<br />

stretched between the quarks as a consequence of space<br />

having properties that make it something like an electric<br />

version of a superconductor. This is the route taken by those<br />

physicists who work on QCD. For them, the key problem is to<br />

understand why empty space has properties that make it<br />

behave in certain circumstances like a superconductor. This

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