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  1.  32
    On Emergence in Gauge Theories at the ’T Hooft Limit‘.Nazim Bouatta & Jeremy Butterfield - 2015 - European Journal for Philosophy of Science 5 (1):55-87.
    Quantum field theories are notoriously difficult to understand, physically as well as philosophically. The aim of this paper is to contribute to a better conceptual understanding of gauge quantum field theories, such as quantum chromodynamics, by discussing a famous physical limit, the ’t Hooft limit, in which the theory concerned often simplifies. The idea of the limit is that the number N of colours goes to infinity. The simplifications that can happen in this limit, and that we will consider, are: (...)
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  2.  26
    Emergence and Reduction Combined in Phase Transitions.Jeremy Butterfield & Nazim Bouatta - unknown
    In another paper, one of us argued that emergence and reduction are compatible, and presented four examples illustrating both. The main purpose of this paper is to develop this position for the example of phase transitions. We take it that emergence involves behaviour that is novel compared with what is expected: often, what is expected from a theory of the system's microscopic constituents. We take reduction as deduction, aided by appropriate definitions. Then the main idea of our reconciliation of emergence (...)
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  3.  32
    Renormalization for Philosophers.Jeremy Butterfield & Nazim Bouatta - unknown
    We have two aims. The main one is to expound the idea of renormalization in quantum field theory, with no technical prerequisites. Our motivation is that renormalization is undoubtedly one of the great ideas—and great successes--of twentieth-century physics. Also it has strongly influenced in diverse ways, how physicists conceive of physical theories. So it is of considerable philosophical interest. Second, we will briefly relate renormalization to Ernest Nagel's account of inter-theoretic relations, especially reduction. One theme will be a contrast between (...)
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  4.  20
    The Emergence of Integrability in Gauge Theories.Nazim Bouatta & Jeremy Butterfield - 2013 - In Vassilios Karakostas & Dennis Dieks (eds.), Epsa11 Perspectives and Foundational Problems in Philosophy of Science. Springer. pp. 229--238.
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