Parity breaking transport in Lifshitz hydrodynamics
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Space-Time Symmetries
Anomalies in Field and String Theories
Effective field theories
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Springer Verlag
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We derive the constitutive relations of first order charged hydrodynamics for theories with Lifshitz scaling and broken parity in 2 + 1 and 3 + 1 spacetime dimensions. In addition to the anomalous (in 3+1) or Hall (in 2+1) transport of relativistic hydrodynamics, there is an additional non-dissipative transport allowed by the absence of boost invariance. We analyze the non-relativistic limit and use a phenomenological model of a strange metal to argue that these effects can be measured in principle by using electromagnetic fields with non-zero gradients
We derive the constitutive relations of first order charged hydrodynamics for theories with Lifshitz scaling and broken parity in 2 + 1 and 3 + 1 spacetime dimensions. In addition to the anomalous (in 3+1) or Hall (in 2+1) transport of relativistic hydrodynamics, there is an additional non-dissipative transport allowed by the absence of boost invariance. We analyze the non-relativistic limit and use a phenomenological model of a strange metal to argue that these effects can be measured in principle by using electromagnetic fields with non-zero gradients
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This work is supported in part by the Israeli Science Foundation Center of Excellence, BSF, GIF and the I-CORE program of Planning and Budgeting Committee and the Israel Science Foundation (grant number 1937/12). This work is partially supported by the Spanish grant MINECO-13-FPA2012- 35043-C02-02. C.H. is supported by the Ramon y Cajal fellowship RYC-2012-10
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