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micomaco86572
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Why is the string theory said to be a perturbative theory, while the LQG is a non-perturbative theory?
Kevin_Axion said:String theory is perturbative, S-Duality, D-branes and AdS/CFT Correspondence stem from Superstring Theory - a Perturbation Theory
Non-perturbative theory is a mathematical approach used to describe systems that cannot be accurately modeled using perturbation theory. Perturbative theory, on the other hand, is a method that approximates solutions to complex systems by breaking them into simpler, solvable parts.
Some examples of systems that require non-perturbative theory include quantum chromodynamics, nuclear physics, and black holes. These systems have strong interactions between particles that cannot be accurately described using perturbation theory.
In non-perturbative theory, calculations are typically more complex and require advanced mathematical techniques such as numerical simulations or lattice field theory. Perturbative theory, on the other hand, uses simpler calculations and relies on approximations to solve equations.
No, non-perturbative theory is not always applicable. It is most useful in systems with strong interactions, but it may not be effective in systems with weak interactions or those that can be accurately modeled using perturbation theory.
Perturbative theory is often easier to apply and can provide quick and relatively accurate solutions to complex systems. It also allows for a better understanding of the underlying physical principles. However, it may not be suitable for systems with strong interactions.