Since complex scalar fields admit two different kinds of annihilation operators, which are related by conjugation, such fields describe charged bosons.

Since quarks have a spin of, the difference in quark-number between mesons and baryons results in mesons being bosons while baryons are fermions.

Since a sequence of two CPT reflections is equivalent to a 360-degree rotation, fermions change by a sign under two CPT reflections, while bosons do not.

Since bosons are symmetric in the single-particle state index we of course, demand that and commute,

Since all known massless particles are bosons and the most familiar massive particles are fermions, usually what is considered is the process which converts two bosons ( e. g. photons ) into two fermions ( e. g., an electron – positron pair ).

Since 1998, Angola has successfully worked with the United Nations Security Council to impose and carry out sanctions on UNITA.

Since large bodies such as planets generally carry no net charge, the electric field at a distance is usually zero.

Since it was first proposed as a part of Mars Direct, the Mars Habitat Unit has been adopted by NASA as a part of their Mars Design Reference Mission, which utilizes two Mars Habitat Units-one of which flies to Mars unmanned, providing a dedicated laboratory facility on Mars, together with the capacity to carry a larger rover vehicle.

Since mineral oil and PCB fluid mix, maintenance equipment used for both PCB and oil-filled transformers could carry over small amounts of PCB, contaminating oil-filled transformers.

Since Spartan men were full-time soldiers, they were not available to carry out manual labour.

Since honey alone often does not provide enough nourishment for the yeast to carry on its lifecycle, a mead that is devoid of fruit, etc.

* Since 1958, the Queen's Baton Relay has taken place, in which athletes carry a baton from Buckingham Palace to the games opening ceremony.

Since the power wiring system was originally intended for transmission of AC power, the power wire circuits have only a limited ability to carry higher frequencies.

Since March 2002 UPDF has been granted permission to carry out operating against LRA bases across the border in the Sudan, and these raids, collectively known as Operation Iron Fist, have resulted in the repatriation of many abducted children being held by the rebels as child soldiers or sex slaves.

Since 1967, non-Muslims have been permitted limited access, however non-Muslims are not permitted to pray on the Temple Mount, or carry any form of religious artifact or anything with Hebrew letters.

Since it is against authority of Title 26 of the United States Code ( U. S. Tax Code ) regulations to carry more than $ 10, 000 without reporting it ( 31 USC 5311 ), it is unlikely to pass security unnoticed.

Since he has to carry out Athena's order, he orders Sthenelus to steal the horses while he faces Aphrodite ’ s son.

Since 1980 no Republican presidential candidate has failed to carry the county with less than 59 percent of the vote.

Since the end of 2008 the railroad right-of-way has been used for the placement of poles that carry electric power from the wind turbines in western Benton County to the substation at Montmorenci.

Since the potteries around Stoke-on-Trent were in desperate need of something better than the pack-horse to carry their fragile wares, they wholeheartedly supported the connection of Staffordshire to the Trent and to the Mersey.

Since 2002, bottles that carry the words " bottle matured " must have enjoyed at least three years of bottle maturation before release.

Since in isolating languages words are not subject to morphology, and in analytic languages they are not marked with morphology showing their role in the sentence, word order tends to carry much importance.

Since gluons carry color charge, two gluons can also interact.

Since the article's publication several of the atypicals now carry limited FDA approval for pediatric indications.

Since British Rail, there has been a number of titles for a Guard's grade but with a few exceptions all now carry out some sort of customer-facing role.

Since the Merlin has no facility to carry a separate monitor, cameras suitable for it must have their own built-in monitors.

Since 1973, security guards and others are not allowed to carry truncheons and other weapons as part of their duties and only police are allowed to carry weapons.

Since 16 January 2006, all network productions produced by any ITV plc-owned company carry an " ITV Productions " endcap and since the start of 2009 have adopted the " ITV Studios " brand.

Since it is not far from Viareggio, he will visit Puccini's house, as he never fails to do, to pay his respects to the memory of the composer of La Boheme, which he considers one of Puccini's masterpieces.

Since little is known about autism, and almost nothing has been written for the layman, we'd like to share one experienced mother's comments.

Since two of these could be trustees of the college, actually it would be necessary to have the consent of only one elected official to impose a levy of millions of dollars of tax revenue.

Since she could not act, one part suited her as well as any other, and so she was the first person to offer Mr. Lincoln a glass of water, holding it up to the box, high above her head, to Miss Harris, who had asked for it.

Since accurate base maps are necessary for any planning program, the first step taken by the planning division to implement the long-range state plan has been to prepare two series of base maps -- one at a scale of 1 inch to a mile, and the second a series of 26 sheets at a scale of 1 inch to 2000 feet, covering the entire state.

Since these duties fit neatly with those of the proposed presidential aide, one person, with adequate staff assistance, could fill both jobs.

Since the same method of shaping and fitting the dogs and notches is used throughout, we will only describe the construction of one locking bar.

Since fly cutters are one sided and not balanced, they should be used at the slowest speed available, and fed very slowly to avoid binding.

Since charges are relatively the same, reserving a car before you leave for Europe will assure you of having one on tap when you want it.

Since a Skeletal Age rating can be made at any age during growth, from Elbow, Shoulder, Knee, or Foot as well as Hand, it seems to be the method of choice when one wishes to study most aspects of skeletal developmental progress during childhood.

Since emotional reactions in the higher vertebrates depend on individual experience and are aroused in man, in addition, by complex symbols, one would expect that the hypothalamus could be excited from the cortex.

Since D' and N' commute with one another and Af, we see that D' and N' commute with T.

Since the writer had established this democratic procedure in the beginning he had to go along with their decision -- after, of course, pointing out whether he thought their decision was a wise or an unwise one.

Since the course, one member has lost her husband.

Since this type of item was not in the statute when section 381 was enacted in 1954, one cannot say with certainty what effect the enactment of that section should have.

Since on the one hand school desegregation has come in Virginia hand-in-glove with pupil assignment, shall we support the plan??

Since the company under review is supplying what we are here regarding as only one kind of service, we might suppose that the problem of total cost apportionment would be very simple ; ;

Since the 1946 disaster there have been 15 tsunami in the Pacific, but only one was of any consequence.

Since perforated tape at the time could record eight bits in one position, it also allowed for a parity bit for error checking if desired.

Since is the distance from a given number to the mean, one way to interpret this property is as saying that the numbers to the left of the mean are balanced by the numbers to the right of the mean.

Since a coulomb is approximately equal to elementary charges ( such as electrons ), one ampere is approximately equivalent to elementary charges moving past a boundary in one second, or the reciprocal of the value of the elementary charges in coulombs.

Since in practice it is not worth contrasting a zero probability with one that is nearly indistinguishable from zero, he prefers to categorize himself as a " de facto atheist ".

Since then, Alumni has played at the highest level of Argentinian rugby and its rivalry with Belgrano Athletic Club is one of the fiercest local derbies in Buenos Aires.

Since the evolution of the Aramaic alphabet out of the Phoenician one was a gradual process, the division of the world's alphabets into those derived from the Phoenician one directly and those derived from Phoenician via Aramaic is somewhat artificial.