[permalink] [id link]
Every quantum field theory satisfying certain technical assumptions about its S-matrix that has non-trivial interactions can only have a symmetry Lie algebra which is always a direct product of the Poincaré group and an internal group if there is a mass gap: no mixing between these two is possible.
Some Related Sentences
Every and quantum
Every isolated unstable black hole decays rapidly to a stable black hole ; and ( modulo quantum fluctuations ) stable black holes can be completely described ( in a Cartesian coordinate system ) at any moment in time by these eleven numbers:
Every quantum mechanical observable corresponds to a unique function or distribution on phase space, and vice versa, as specified by Hermann Weyl ( 1927 ) and supplemented by John von Neumann ( 1931 ); Eugene Wigner ( 1932 ); and, in a grand synthesis, by H J Groenewold ( 1946 ).
Every computer must be compatible with the principles of information theory, statistical thermodynamics, and quantum mechanics.
Every and field
Every field has an algebraic extension which is algebraically closed ( called its algebraic closure ), but proving this in general requires some form of the axiom of choice.
Every time an MTA receives an email message, it adds a < tt > Received </ tt > trace header field to the top of the header of the message, thereby building a sequential record of MTAs handling the message.
Every ordered field is a formally real field, i. e., 0 cannot be written as a sum of nonzero squares.
Every instruction consists of a 9-bit opcode, a 4-bit register code, and a 23-bit effective address field, which consists in turn of a 1-bit indirect bit, a 4-bit register code, and an 18-bit offset.
Every field theory of particle physics is based on certain symmetries of nature whose existence is deduced from observations.
Every planetary body ( including the Earth ) is surrounded by its own gravitational field, which exerts an attractive force on all objects.
Every prime ideal P in a Boolean ring R is maximal: the quotient ring R / P is an integral domain and also a Boolean ring, so it is isomorphic to the field F < sub > 2 </ sub >, which shows the maximality of P. Since maximal ideals are always prime, prime ideals and maximal ideals coincide in Boolean rings.
Every year, the British Political Studies Association awards the Walter Bagehot Prize for the best dissertation in the field of government and public administration.
Every polynomial in can be factorized into polynomials that are irreducible over F. This factorization is unique up to permutation of the factors and the multiplication of the factors by nonzero constants from F ( because the ring of polynomials over a field is a unique factorization domain whose units are the nonzero constant polynomials ).
Every quadratic form q in n variables over a field of characteristic not equal to 2 is equivalent to a diagonal form
Every kind of material has unique magnetic properties, even those that we do not think of as being “ magnetic .” Different materials below the ground can cause local disturbances in the Earth ’ s magnetic field that are detectable with sensitive magnetometers.
Every and theory
* Duality: Every statement, theorem, or definition in category theory has a dual which is essentially obtained by " reversing all the arrows ".
While also refining Galen's erroneous theory of the pulse, Avicenna provided the first correct explanation of pulsation: " Every beat of the pulse comprises two movements and two pauses.
Every epimorphism in this algebraic sense is an epimorphism in the sense of category theory, but the converse is not true in all categories.
Every one of the features encompassed by the theory still requires a reason for it to be maintained after hominids left the aquatic environment.
" Some also hold to the theory that Kidd conspired with Henry Every and Oak Island was used as a pseudo community bank between the two.
: Every countable theory which is satisfiable in a model M, is satisfiable in a countable substructure of M.
Iwasawa worked with so-called-extensions: infinite extensions of a number field with Galois group isomorphic to the additive group of p-adic integers for some prime p. Every closed subgroup of is of the form, so by Galois theory, a-extension is the same thing as a tower of fields such that.
Is fundamental for the many-body theory that Every operator can be expressed in terms of annihilation and creation operators.
Every Skolem theory is model complete, i. e. every substructure of a model is an elementary substructure.
Every issue of the magazine opens with a description of The Skeptics Society and its mission statement, which is to explore subjects such as creationism, pyramid power, Bigfoot, pseudohistorical claims ( as in the examples of Holocaust denial and extreme Afrocentrism ), the use or misuse of theory and statistics, conspiracy theories, urban myths, witch-hunts, mass hysterias, genius and intelligence, and cultural influences on science, as well as controversies involving protosciences at the leading edge of established science, and even fads like cryonics and low-carb diets.
Every proper subgroup of G can be assumed a solvable group, meaning that much theory of such subgroups could be applied.
Every major Korean neo-Confucianist shared Toegye's preoccupation with single-mindedness, which signalled new stress on praxis in the development of Korean neo-Confucianism: the fusion of the metaphysical and the physical is better brought about through action than speculation, important as theory might be.
Every theory which refuses to ascribe to God an attribute which is essential to a worthy conception of His character is anti-theistic.