论文标题
量子电动力学的产品图片
A product picture for quantum electrodynamics
论文作者
论文摘要
我们简要说明了我们的工作，以提供“产品图片”提供量子电动力学。它旨在补充“物理基础”最近的一篇论文中更长的论述，并帮助使该工作更容易访问。 The product picture is a formulation of QED, equivalent to standard Coulomb gauge QED, but in which the Hilbert space arises as (a certain physical subspace of) a product of a Hilbert space for the electromagnetic field and a Hilbert space for charged matter (i.e. the Dirac field) and in which the Hamiltonian arises as the sum of an electromagnetic Hamiltonian and a charged matter Hamiltonian and an interaction term. （QED的库仑规格不是产品图片，因为在其中，电磁场的纵向部分是由带电物质操作员制成的。）我们还回想起“ Qed的矛盾的通勤定理”，该QED在以前的尝试中以QED量化的时间量化QED的尝试，并解释了我们的产品图片的方式，该QED在以前的尝试中提供了一种flaw的方式。此外，我们讨论了定理在多大程度上推广到杨米尔斯字段的程度。我们还开发了与电磁场相互作用的非同性带电颗粒的产品图片，并指出这是如何导致一种新颖的思考与许多具有库仑相互作用的许多非率电动电荷颗粒理论的新方法。我们解释了QED产品图片的提供如何使人们希望能够为（Yang Mills and）量子重力提供产品图片 - 后者需要理解作者的“物质纠缠假设”。在后词中，我们简要讨论了该假设及其对罗杰·彭罗斯（Roger Penrose）的预测和思想之间的相似性和差异，与重力在量子状态减少和宇宙学熵中的可能作用有关。
We present a short account of our work to provide quantum electrodynamics with a 'product picture'. It aims to complement the longer exposition in a recent paper in 'Foundations of Physics' and to help to make that work more accessible. The product picture is a formulation of QED, equivalent to standard Coulomb gauge QED, but in which the Hilbert space arises as (a certain physical subspace of) a product of a Hilbert space for the electromagnetic field and a Hilbert space for charged matter (i.e. the Dirac field) and in which the Hamiltonian arises as the sum of an electromagnetic Hamiltonian and a charged matter Hamiltonian and an interaction term. (The Coulomb gauge formulation of QED is not a product picture because, in it, the longitudinal part of the electromagnetic field is made out of charged matter operators.) We also recall a 'Contradictory Commutator Theorem' for QED which exposes flaws in previous attempts at temporal gauge quantization of QED and we explain how our product picture appears to offer a way to overcome those flaws. Additionally, we discuss the extent to which that theorem generalizes to Yang-Mills fields. We also develop a product picture for nonrelativistic charged particles in interaction with the electromagnetic field and point out how this leads to a novel way of thinking about the theory of many nonrelativistic electrically charged particles with Coulomb interactions. We explain how the provision of a product picture for QED gives hope that one will be able likewise to have a product picture for (Yang Mills and) quantum gravity -- the latter being needed to make sense of the author's 'matter-gravity entanglement hypothesis'. In an afterword, we briefly discuss similarities and differences between that hypothesis and its predictions and ideas of Roger Penrose related to a possible role of gravity in quantum state reduction and to cosmological entropy.
