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luxxio
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I am searching material in second quantization in ashtekar-like formulation gravity.
Somebody knows something like that?
thanks
Somebody knows something like that?
thanks
what i can understand is that lqg is a first quantization theory, isn't it?Demystifier said:Are you familiar with loop quantum gravity? If not, this is probably what you should search instead.
No, it is a quantum field theory. However, this method of quantization does not contain a notion of gravitons, so you may say that this quantum field theory cannot be viewed as a second quantization of gravitons, but only as a first quantization of gravitational fields.luxxio said:what i can understand is that lqg is a first quantization theory, isn't it?
Second quantization in Ashtekar variable is a mathematical framework used in quantum field theory to describe the quantization of systems with an infinite number of degrees of freedom, such as a field. It is based on the Ashtekar variable, which is an alternative form of the canonical variables used in classical mechanics.
Second quantization in Ashtekar variable differs from other quantization methods because it takes into account the intrinsic properties of the field, such as its gauge invariance and the constraints it must satisfy. This allows for a more accurate and consistent quantization of the field, especially in the case of quantum gravity.
The use of Ashtekar variable in second quantization is significant because it allows for a better understanding of the underlying structure of the field. It also enables the formulation of a quantum theory of gravity, as the Ashtekar variable is a key component in loop quantum gravity, a leading theory of quantum gravity.
Yes, second quantization in Ashtekar variable can be applied to any field that can be described using canonical variables. This includes fields in quantum electrodynamics, quantum chromodynamics, and other quantum field theories.
Some potential applications of second quantization in Ashtekar variable include the study of quantum gravity, cosmology, and black holes. It can also be used to investigate the behavior of matter at high energies and densities, such as in the early universe or in extreme astrophysical environments.