What Do UV and IR Mean in the Context of Quantum Gravity Theories?

In summary, UV and IR are terms commonly used in string theory and quantum gravity to refer to small scale and high energy (UV) and larger scale and lower energy (IR). However, their exact meaning can vary depending on context and can also refer to the quantum and cosmological scales.
  • #1
inflector
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I keep seeing references to UV and IR in references to string theory and quantum gravity. This seems to come up in discussions of renormalization especially.

Can someone please explicitly explain the term? Google doesn't seem to help here. There are way too many references. I have tried various combinations with other terms as well but haven't found anything useful yet.

I know that UV means ultraviolet and IR means infrared but this does not really help as the meaning clearly has more specificity when used in the context of quantum gravity than just a reference to small bands in the EM spectrum. It seems as if the terms mean the quantum scale and cosmological scale at times based on context. Is this close?
 
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  • #2
inflector said:
I know that UV means ultraviolet and IR means infrared but this does not really help as the meaning clearly has more specificity when used in the context of quantum gravity than just a reference to small bands in the EM spectrum. It seems as if the terms mean the quantum scale and cosmological scale at times based on context. Is this close?

I think that's a good way to put it.
The exact meaning can depend on context. UV usually means small scale and high energy, which makes sense because in particle physics it takes high energies to explore structure and interaction at small scale.

IR has the connotation of lower energy, longer wavelength, larger scale. But not necessarily cosmological. It could simply refer to conditions and scales we experience in the ordinary everyday macroscopic world.

In the case of gravity, the most intensive measurements testing GR have been done on the scale of the Earth and solar system, so I guess the relevant IR regime where QG is supposed to match GR would be solar system or within a few orders of magnitude thereof. But it could also mean cosmological scale.
 
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1. What is UV in the context of quantum gravity theories?

UV stands for "ultraviolet" and refers to the high-energy range of the electromagnetic spectrum. In the context of quantum gravity theories, UV refers to the short-distance or high-frequency behavior of a theory. This is important because at these high energies, the effects of gravity become more pronounced and quantum effects become more significant.

2. What is IR in the context of quantum gravity theories?

IR stands for "infrared" and refers to the low-energy range of the electromagnetic spectrum. In the context of quantum gravity theories, IR refers to the long-distance or low-frequency behavior of a theory. This is important because at these low energies, the effects of gravity become weaker and classical physics becomes more dominant.

3. Why are UV and IR important in understanding quantum gravity theories?

UV and IR play important roles in understanding quantum gravity theories because they represent the extreme ends of the electromagnetic spectrum, where different physical phenomena dominate. By studying the behavior of a theory at both UV and IR limits, we can gain a better understanding of how gravity and quantum mechanics interact and potentially find a unified theory that can explain both.

4. How do UV and IR relate to the concept of renormalization in quantum gravity theories?

Renormalization is a mathematical technique used to remove infinities in quantum field theories. In the context of quantum gravity theories, UV and IR correspond to the cutoffs used in renormalization. The UV cutoff removes high-energy contributions, while the IR cutoff removes low-energy contributions. By applying renormalization, we can better understand the behavior of a theory at these extreme energy ranges.

5. Can UV and IR behavior be unified in a quantum gravity theory?

There is ongoing research and debate in the scientific community about whether UV and IR behavior can be unified in a quantum gravity theory. Some theories, such as string theory, attempt to reconcile the two extremes, while others propose alternate approaches. Further research and experimentation are needed to determine if a unified theory is possible.

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