Abstract
By using holographic description of strongly interacting field theories we show that under common assumptions Lorentz invariance emerges as an effective low–energy symmetry of the theory, despite fundamental theory at hight energies being Lorentz–violating. We consider fermions sector and show that the notion of chirality also automatically arises in the infrared.
Highlights
The idea that Lorentz–invariance (LI) can be not a fundamental symmetry of nature but accidental or emergent symmetry of low–energy physics has been subject of studies for a while
The pioneering work in that direction in particle physics were made by Nielsen, Chadha and Ninomiya [5, 6], who studied quantum electrodynamics and Yang–Mills theory with Lorentz–violating (LV) coupling of dimension four and showed that they vanish in the IR limit of renormalization group (RG) flow
If such corrections would be of order one at some energy scale Λ∗, they would be only mildly suppressed at experimentally accessible energies
Summary
The idea that Lorentz–invariance (LI) can be not a fundamental symmetry of nature but accidental or emergent symmetry of low–energy physics has been subject of studies for a while. The pioneering work in that direction in particle physics were made by Nielsen, Chadha and Ninomiya [5, 6], who studied quantum electrodynamics and Yang–Mills theory with Lorentz–violating (LV) coupling of dimension four and showed that they vanish in the IR limit of RG flow Their model fails to satisfy the experimental constrains, coming from precision test of LI [7, 8] – as in any weakly–coupled system, the marginal LV operators have logarithmic dependence on RG scale, that is not enough to stay within existing bounds on LV corrections.
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