Is there a classical counterpart to quantum string theory?

In summary, there is a classical string theory that is quantized to give a quantum mechanical theory of strings. This is done by considering the Lagrangian of a vibrating string and applying quantum (anti)commutation relations to the wave oscillation solutions found through Fourier coefficients.
  • #1
jostpuur
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Standard quantum field theories start so that there is a classical field theory, and then the field is quantized. Is there also a classical string theory, that is quantized to give quantum mechanical theory of strings?

(I don't know anything about string theory yet. I'm just asking things, before I start studying it.)
 
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  • #2
Yes there is.
 
  • #3
To expand on Coal's answer, string theory starts classically by considering the Lagrangian of a vibrating string, as is common place in classical Newtonian dynamics. The wave oscillation solutions are found, the Fourier coefficents computed and then you apply quantum (anti)commutation relations to them.
 

1. What is classical string theory?

Classical string theory is a theoretical framework that describes the behavior of fundamental particles as tiny, vibrating strings rather than point-like particles.

2. How is classical string theory different from quantum mechanics?

Classical string theory is a deterministic theory that describes particles as continuous strings, while quantum mechanics is a probabilistic theory that describes particles as discrete entities.

3. What is the significance of extra dimensions in classical string theory?

In classical string theory, there are 10 dimensions - 9 spatial dimensions and 1 time dimension. These extra dimensions are necessary for the mathematical consistency of the theory, but they are not directly observable in our everyday world.

4. Can classical string theory be experimentally tested?

At this time, classical string theory cannot be directly tested through experiments due to its extremely small scale and the technology needed to probe it. However, some predictions of the theory, such as the existence of gravitons, may be tested in the future.

5. How does classical string theory relate to the search for a theory of everything?

Classical string theory is a candidate for a theory of everything, which is a theoretical framework that aims to unify all known physical laws and explain the fundamental forces of nature. However, it is still a work in progress and further research and development is needed to fully understand its implications.

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